Geometry, NAPX-H4-CA30 SA, NAPX-H3-CA32 SA

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

727

Question

In the diagram PQPQ is a straight line.



What is the size of the angle marked a\large a°\degree?

Worked Solution

The bottom left triangle is equilateral.
∴a\therefore \large a°\degree = 180−(90+30)180 - (90 + 30)
= 60°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
In the diagram $PQ$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA30-SA.svg 330 indent3 vpad
What is the size of the angle marked $\large a$$\degree$?
workedSolution
The bottom left triangle is equilateral.
||| |-|-| |$\therefore \large a$$\degree$|= $180 - (90 + 30)$| ||= {{{correctAnswer0}}}{{{suffix0}}}|

sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA30-SA-Answer.svg 290 indent vpad
correctAnswer0
60
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
correctAnswer060

°\degree

Variant 1

DifficultyLevel

729

Question

In the diagram XYXY is a straight line.



What is the size of the angle marked a\large a°\degree?

Worked Solution

The bottom left triangle is equilateral.
∴a\therefore \large a°\degree = 90−6090 - 60
= 30°\degree

Question Type

Answer Box

Variables

Variable nameVariable value
question
In the diagram $XY$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_-NAPX-H4-CA30-SA-NAPX-H3-CA32-SA.svg 300 indent3 vpad
What is the size of the angle marked $\large a$$\degree$?
workedSolution
The bottom left triangle is equilateral.
||| |-|-| |$\therefore \large a$$\degree$|= $90 - 60$| ||= {{{correctAnswer0}}}{{{suffix0}}}|

sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_-NAPX-H4-CA30-SA-NAPX-H3-CA32-SA_v1ws.svg 290 indent vpad
correctAnswer0
30
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
correctAnswer030

°\degree

Tags