Geometry, NAPX-I4-CA16 SA
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
Variant 0
DifficultyLevel
625
Question
What is the size of angle x°?
Worked Solution
Base angles of the isosceles triangle both = 32°
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|
| ∴x° |
= 180−32 |
|
= 148° |
Question Type
Answer Box
Variables
| Variable name | Variable 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 | |
| prefix0 | |
| suffix0 | |
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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 148 | |
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
Variant 1
DifficultyLevel
620
Question
What is the size of angle x°?
Worked Solution
Base angles of the isosceles triangle both = 45°
|
|
| ∴x° |
= 180−45 |
|
= 135° |
Question Type
Answer Box
Variables
| Variable name | Variable 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 | |
| prefix0 | |
| suffix0 | |
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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 135 | |
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
Variant 2
DifficultyLevel
619
Question
What is the size of angle x°?
Worked Solution
Base angles of the isosceles triangle both = 63°
|
|
| ∴x° |
= 180−63 |
|
= 117° |
Question Type
Answer Box
Variables
| Variable name | Variable 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$$\degree$|= $180 - 63$|
||= {{{correctAnswer0}}}{{{suffix0}}}|
|
| correctAnswer0 | |
| prefix0 | |
| suffix0 | |
Answers
Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)
For example:
correctAnswer: 123.40
And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 117 | |
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
Variant 3
DifficultyLevel
618
Question
What is the size of angle x°?
Worked Solution
Base angles of the isosceles triangle both = 36°
|
|
| ∴x° |
= 180−36 |
|
= 144° |
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v2.svg 400 indent2 vpad
What is the size of angle $\large x$$\degree$? |
| workedSolution | sm_nogap Base angles of the isosceles triangle both = 36$\degree$
|||
|-|-|
|$\therefore \large x$$\degree$|= $180 - 36$|
||= {{{correctAnswer0}}}{{{suffix0}}}|
|
| correctAnswer0 | |
| prefix0 | |
| suffix0 | |
Answers
Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)
For example:
correctAnswer: 123.40
And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 144 | |
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
Variant 4
DifficultyLevel
592
Question
What is the size of angle x°?
Worked Solution
Base angles of the isosceles triangle both = 31°
|
|
| ∴x° |
= 180−31 |
|
= 149° |
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v6.svg 80 indent2 vpad
What is the size of angle $\large x$$\degree$? |
| workedSolution | sm_nogap Base angles of the isosceles triangle both = 31$\degree$
|||
|-|-|
|$\therefore \large x$$\degree$|= $180 - 31$|
||= {{{correctAnswer0}}}{{{suffix0}}}|
|
| correctAnswer0 | |
| prefix0 | |
| suffix0 | |
Answers
Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)
For example:
correctAnswer: 123.40
And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 149 | |
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
Variant 5
DifficultyLevel
591
Question
What is the size of angle x°?
Worked Solution
Base angles of the isosceles triangle both = 69°
|
|
| ∴x° |
= 180−69 |
|
= 111° |
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v3.svg 180 indent2 vpad
What is the size of angle $\large x$$\degree$? |
| workedSolution | sm_nogap Base angles of the isosceles triangle both = 69$\degree$
|||
|-|-|
|$\therefore \large x$$\degree$|= $180 - 69$|
||= {{{correctAnswer0}}}{{{suffix0}}}|
|
| correctAnswer0 | |
| prefix0 | |
| suffix0 | |
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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 111 | |