Geometry, NAPX-J4-CA15 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

612

Question

What is the size of the angle marked x\large x°\degree in the diagram below?


Worked Solution

Since 360°\degree in a quadrilateral.
x\large x°\degree = 360−(103+88+62)360 - (103 + 88 + 62)
= 360−253360 - 253
= 107°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the size of the angle marked $\large x$$\degree$ in the diagram below?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA15.svg 200 indent3 vpad
workedSolution
sm_nogap Since 360$\degree$ in a quadrilateral.
||| |-|-| |$\large x$$\degree$|= $360 - (103 + 88 + 62)$| ||= $360 - 253$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
107
prefix0
suffix0
$\degree$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0107

°\degree

Variant 1

DifficultyLevel

610

Question

What is the size of the angle marked x\large x°\degree in the diagram below?

Worked Solution

Since 360°\degree in a quadrilateral.
x\large x°\degree = 360−(124+77+82)360 - (124 + 77 + 82)
= 360−283360 - 283
= 77°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the size of the angle marked $\large x$$\degree$ in the diagram below?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v1.svg 200 indent2 vpad
workedSolution
sm_nogap Since 360$\degree$ in a quadrilateral.
||| |-|-| |$\large x$$\degree$|= $360 - (124 + 77 + 82)$| ||= $360 - 283$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
77
prefix0
suffix0
$\degree$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer077

°\degree

Variant 2

DifficultyLevel

609

Question

What is the size of the angle marked x\large x°\degree in the diagram below?

Worked Solution

Since 360°\degree in a quadrilateral.
x\large x°\degree = 360−(68+97+79)360 - (68 + 97 + 79)
= 360−244360 - 244
= 116°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the size of the angle marked $\large x$$\degree$ in the diagram below?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v2.svg 200 indent3 vpad
workedSolution
sm_nogap Since 360$\degree$ in a quadrilateral.
||| |-|-| |$\large x$$\degree$|= $360 - (68 + 97 + 79)$| ||= $360 - 244$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
116
prefix0
suffix0
$\degree$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0116

°\degree

Variant 3

DifficultyLevel

608

Question

What is the size of the angle marked x\large x°\degree in the diagram below?

Worked Solution

Since 360°\degree in a quadrilateral.
x\large x°\degree = 360−(28+100+30)360 - (28 + 100 + 30)
= 360−158360 - 158
= 202°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the size of the angle marked $\large x$$\degree$ in the diagram below?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v3.svg 250 indent2 vpad
workedSolution
sm_nogap Since 360$\degree$ in a quadrilateral.
||| |-|-| |$\large x$$\degree$|= $360 - (28 + 100 + 30)$| ||= $360 - 158$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
202
prefix0
suffix0
$\degree$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0202

°\degree

Variant 4

DifficultyLevel

607

Question

What is the size of the angle marked x\large x°\degree in the diagram below?

Worked Solution

Since 360°\degree in a quadrilateral.
x\large x°\degree = 360−(46+95+112)360 - (46 + 95 + 112)
= 360−253360 - 253
= 107°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the size of the angle marked $\large x$$\degree$ in the diagram below?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v4.svg 140 indent3 vpad
workedSolution
sm_nogap Since 360$\degree$ in a quadrilateral.
||| |-|-| |$\large x$$\degree$|= $360 - (46 + 95 + 112)$| ||= $360 - 253$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
107
prefix0
suffix0
$\degree$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0107

°\degree

Variant 5

DifficultyLevel

606

Question

What is the size of the angle marked x\large x°\degree in the diagram below?

Worked Solution

Since 360°\degree in a quadrilateral.
x\large x°\degree = 360−(55+47+18)360 - (55 + 47 + 18)
= 360−120360 - 120
= 240°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the size of the angle marked $\large x$$\degree$ in the diagram below?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v5.svg 200 indent2 vpad
workedSolution
sm_nogap Since 360$\degree$ in a quadrilateral.
||| |-|-| |$\large x$$\degree$|= $360 - (55 + 47 + 18)$| ||= $360 - 120$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
240
prefix0
suffix0
$\degree$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0240

°\degree

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