20083

Question

The diagram below shows the front view of a house in the shape of a triangular prism.


{{image}}


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

Worked Solution

Sum of the internal angles of a  Δ=180°\ \Delta = 180\degree
∴α°\therefore \large \alpha \degree = 180 −- ({{angle}} + {{angle}})
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

571

Question

The diagram below shows the front view of a house in the shape of a triangular prism.



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

Worked Solution

Sum of the internal angles of a  Δ=180°\ \Delta = 180\degree
∴α°\therefore \large \alpha \degree = 180 −- (75 + 75)
= 30°30\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle
75
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q19var1.svg 160 indent3 vpad
correctAnswer
$30\degree$

Answers

Is Correct?Answer
✓

30°30\degree

x

40°40\degree

x

50°50\degree

x

75°75\degree

Variant 1

DifficultyLevel

571

Question

The diagram below shows the front view of a house in the shape of a triangular prism.



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

Worked Solution

Sum of the internal angles of a  Δ=180°\ \Delta = 180\degree
∴α°\therefore \large \alpha \degree = 180 −- (65 + 65)
= 50°50\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle
65
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q19var2.svg 240 indent3 vpad
correctAnswer
$50\degree$

Answers

Is Correct?Answer
x

30°30\degree

x

40°40\degree

✓

50°50\degree

x

60°60\degree

Variant 2

DifficultyLevel

569

Question

The diagram below shows the front view of a house in the shape of a triangular prism.



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

Worked Solution

Sum of the internal angles of a  Δ=180°\ \Delta = 180\degree
∴α°\therefore \large \alpha \degree = 180 −- (45 + 45)
= 90°90\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle
45
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q19var3.svg 400 indent3 vpad
correctAnswer
$90\degree$

Answers

Is Correct?Answer
x

45°45\degree

x

70°70\degree

✓

90°90\degree

x

110°110\degree

Variant 3

DifficultyLevel

572

Question

The diagram below shows the front view of a house in the shape of a triangular prism.



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

Worked Solution

Sum of the internal angles of a  Δ=180°\ \Delta = 180\degree
∴α°\therefore \large \alpha \degree = 180 −- (35 + 35)
= 110°110\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle
35
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q19var4.svg 400 indent3 vpad
correctAnswer
$110\degree$

Answers

Is Correct?Answer
x

100°100\degree

✓

110°110\degree

x

120°120\degree

x

130°130\degree

Variant 4

DifficultyLevel

573

Question

The diagram below shows the front view of a house in the shape of a triangular prism.



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

Worked Solution

Sum of the internal angles of a  Δ=180°\ \Delta = 180\degree
∴α°\therefore \large \alpha \degree = 180 −- (55 + 55)
= 70°70\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle
55
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q19var5.svg 330 indent3 vpad
correctAnswer
$70\degree$

Answers

Is Correct?Answer
x

50°50\degree

x

55°55\degree

x

60°60\degree

✓

70°70\degree

Tags

  • ch_triangle