Geometry, NAPX-H4-CA12

Question

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Worked Solution

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Variant 0

DifficultyLevel

588

Question

Triangle PQRPQR is an isosceles triangle.

What is the size of the angle ∠\anglePQRPQR?

Worked Solution

Since 180°\degree in Δ\Delta,
∠\anglePQRPQR = 180−(74+74)180 - (74 + 74)
= 32°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Triangle $PQR$ is an isosceles triangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA121.svg 200 indent vpad What is the size of the angle $\angle$$PQR$?
workedSolution
Since 180$\degree$ in $\Delta$,
||| |-|-| |$\angle$$PQR$|= $180 - (74 + 74)$| ||= {{{correctAnswer}}}|
correctAnswer
32$\degree$

Answers

Is Correct?Answer
✓

32°\degree

x

37°\degree

x

45°\degree

x

74°\degree

Variant 1

DifficultyLevel

587

Question

Triangle PQRPQR is an isosceles triangle.

What is the size of the angle ∠\anglePQRPQR?

Worked Solution

Since 180°\degree in a Δ\Delta,
∠\anglePQRPQR = 180−(2×39)180 - (2 \times39)
= 102°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Triangle $PQR$ is an isosceles triangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v4.svg 120 indent2 vpad What is the size of the angle $\angle$$PQR$?
workedSolution
Since 180$\degree$ in a $\Delta$,
||| |-|-| |$\angle$$PQR$|= $180 - (2 \times39)$| ||= {{{correctAnswer}}}|
correctAnswer
102$\degree$

Answers

Is Correct?Answer
x

39°\degree

x

51°\degree

x

78°\degree

✓

102°\degree

Variant 2

DifficultyLevel

586

Question

Triangle PQRPQR is an isosceles triangle.

What is the size of the angle ∠\angleQPRQPR?

Worked Solution

Since 180°\degree in a Δ\Delta,
∠\angleQPRQPR = 180−(2×73)180 - (2 \times73)
= 34°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Triangle $PQR$ is an isosceles triangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v5.svg 180 indent vpad What is the size of the angle $\angle$$QPR$?
workedSolution
Since 180$\degree$ in a $\Delta$,
||| |-|-| |$\angle$$QPR$|= $180 - (2 \times73)$| ||= {{{correctAnswer}}}|
correctAnswer
34$\degree$

Answers

Is Correct?Answer
✓

34°\degree

x

68°\degree

x

73°\degree

x

146°\degree

Variant 3

DifficultyLevel

585

Question

Triangle PQRPQR is an isosceles triangle.

What is the size of the angle ∠\anglePRQPRQ?

Worked Solution

Since 180°\degree in a Δ\Delta,
∠\anglePRQPRQ = 180−(2×81)180 - (2\times 81)
= 18°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Triangle $PQR$ is an isosceles triangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v3.svg 200 indent vpad What is the size of the angle $\angle$$PRQ$?
workedSolution
Since 180$\degree$ in a $\Delta$,
||| |-|-| |$\angle$$PRQ$|= $180 - (2\times 81)$| ||= {{{correctAnswer}}}|
correctAnswer
18$\degree$

Answers

Is Correct?Answer
x

9°\degree

✓

18°\degree

x

81°\degree

x

162°\degree

Variant 4

DifficultyLevel

584

Question

Triangle PQRPQR is an isosceles triangle.

What is the size of the angle ∠\angleQPRQPR?

Worked Solution

Since 180°\degree in a Δ\Delta,
∠\angleQPRQPR = 180−(2×61)180 - (2\times 61)
= 58°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Triangle $PQR$ is an isosceles triangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v2.svg 220 indent vpad What is the size of the angle $\angle$$QPR$?
workedSolution
Since 180$\degree$ in a $\Delta$,
||| |-|-| |$\angle$$QPR$|= $180 - (2\times 61)$| ||= {{{correctAnswer}}}|
correctAnswer
58$\degree$

Answers

Is Correct?Answer
x

29°\degree

✓

58°\degree

x

61°\degree

x

122°\degree

Variant 5

DifficultyLevel

583

Question

Triangle PQRPQR is an isosceles triangle.

What is the size of the angle ∠\anglePRQPRQ?

Worked Solution

Since 180°\degree in Δ\Delta,
∠\anglePRQPRQ = 180−(2×76)180 - (2\times 76)
= 28°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Triangle $PQR$ is an isosceles triangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v1.svg 280 indent vpad What is the size of the angle $\angle$$PRQ$?
workedSolution
Since 180$\degree$ in $\Delta$,
||| |-|-| |$\angle$$PRQ$|= $180 - (2\times 76)$| ||= {{{correctAnswer}}}|
correctAnswer
28$\degree$

Answers

Is Correct?Answer
✓

28°\degree

x

76°\degree

x

104°\degree

x

152°\degree

Tags