Geometry, NAPX-I4-CA16 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}


Variant 0

DifficultyLevel

625

Question

What is the size of angle x\large x°\degree?

Worked Solution

Base angles of the isosceles triangle both = 32°\degree

x\therefore \large x°\degree = 18032180 - 32
= 148°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA16.svg 380 indent2 vpad What is the size of angle $\large x$$\degree$?
workedSolution
sm_nogap Base angles of the isosceles triangle both = 32$\degree$
||| |-|-| |$\therefore \large x$$\degree$|= $180 - 32$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
148
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
correctAnswer0148

°\degree


Variant 1

DifficultyLevel

620

Question

What is the size of angle x\large x°\degree?

Worked Solution

Base angles of the isosceles triangle both = 45°\degree

x\therefore \large x°\degree = 18045180 - 45
= 135°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v5a.svg 340 indent2 vpad What is the size of angle $\large x$$\degree$?
workedSolution
sm_nogap Base angles of the isosceles triangle both = 45$\degree$
||| |-|-| |$\therefore \large x$$\degree$|= $180 - 45$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
135
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
correctAnswer0135

°\degree


Variant 2

DifficultyLevel

619

Question

What is the size of angle x°\large x \degree?

Worked Solution

Base angles of the isosceles triangle both = 63°\degree

x\therefore \large x°\degree = 18063180 - 63
= 117°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v1.svg 300 indent2 vpad What is the size of angle $\large x \degree$?
workedSolution
sm_nogap Base angles of the isosceles triangle both = 63$\degree$
||| |-|-| |$\therefore \large x$$\degree$|= $180 - 63$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
117
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
correctAnswer0117

°\degree


Variant 3

DifficultyLevel

618

Question

What is the size of angle x\large x°\degree?

Worked Solution

Base angles of the isosceles triangle both = 36°\degree

x\therefore \large x°\degree = 18036180 - 36
= 144°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v2.svg 400 indent2 vpad What is the size of angle $\large x$$\degree$?
workedSolution
sm_nogap Base angles of the isosceles triangle both = 36$\degree$
||| |-|-| |$\therefore \large x$$\degree$|= $180 - 36$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
144
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
correctAnswer0144

°\degree


Variant 4

DifficultyLevel

592

Question

What is the size of angle x\large x°\degree?

Worked Solution

Base angles of the isosceles triangle both = 31°\degree

x\therefore \large x°\degree = 18031180 - 31
= 149°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v6.svg 80 indent2 vpad What is the size of angle $\large x$$\degree$?
workedSolution
sm_nogap Base angles of the isosceles triangle both = 31$\degree$
||| |-|-| |$\therefore \large x$$\degree$|= $180 - 31$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
149
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
correctAnswer0149

°\degree


Variant 5

DifficultyLevel

591

Question

What is the size of angle x\large x°\degree?

Worked Solution

Base angles of the isosceles triangle both = 69°\degree

x\therefore \large x°\degree = 18069180 - 69
= 111°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v3.svg 180 indent2 vpad What is the size of angle $\large x$$\degree$?
workedSolution
sm_nogap Base angles of the isosceles triangle both = 69$\degree$
||| |-|-| |$\therefore \large x$$\degree$|= $180 - 69$| ||= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
111
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
correctAnswer0111

°\degree

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