30150

Question

In the picture below:

  • {{angle1}} = {{size1}}°\degree
  • {{angle2}} = {{size2}}°\degree

{{image}}


What is the size of {{angle3}}?

Worked Solution
{{angle3}} = {{angle1}} + {{angle2}}
= {{size1}} + {{size2}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

513

Question

In the picture below:

  • ∠\anglePQR = 56°\degree
  • ∠\angleRQS = 67°\degree


What is the size of ∠\anglePQS?

Worked Solution
∠\anglePQS = ∠\anglePQR + ∠\angleRQS
= 56 + 67
= 123°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle1
$\angle$PQR
size1
56
angle2
$\angle$RQS
size2
67
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q41var1.svg 150 indent3 vpad
angle3
$\angle$PQS
correctAnswer
123$\degree$

Answers

Is Correct?Answer
x

11°\degree

x

103°\degree

x

113°\degree

✓

123°\degree

Variant 1

DifficultyLevel

510

Question

In the picture below:

  • ∠\angleABC = 18°\degree
  • ∠\angleCBD = 66°\degree


What is the size of ∠\angleABD?

Worked Solution
∠\angleABD = ∠\angleABC + ∠\angleCBD
= 18 + 66
= 84°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle1
$\angle$ABC
size1
18
angle2
$\angle$CBD
size2
66
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q41var2r.svg 200 indent3 vpad
angle3
$\angle$ABD
correctAnswer
84$\degree$

Answers

Is Correct?Answer
x

48°\degree

x

74°\degree

✓

84°\degree

x

90°\degree

Variant 2

DifficultyLevel

514

Question

In the picture below:

  • ∠\anglePRQ = 43°\degree
  • ∠\anglePRS = 78°\degree


What is the size of ∠\angleQRS?

Worked Solution
∠\angleQRS = ∠\anglePRQ + ∠\anglePRS
= 43 + 78
= 121°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle1
$\angle$PRQ
size1
43
angle2
$\angle$PRS
size2
78
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q41var3.svg 160 indent3 vpad
angle3
$\angle$QRS
correctAnswer
121$\degree$

Answers

Is Correct?Answer
x

35°\degree

x

101°\degree

x

111°\degree

✓

121°\degree

Variant 3

DifficultyLevel

511

Question

In the picture below:

  • ∠\anglePQR = 107°\degree
  • ∠\angleRQS = 27°\degree


What is the size of ∠\anglePQS?

Worked Solution
∠\anglePQS = ∠\anglePQR + ∠\angleRQS
= 107 + 27
= 134°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle1
$\angle$PQR
size1
107
angle2
$\angle$RQS
size2
27
angle3
$\angle$PQS
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q41var4.svg 300 indent3 vpad
correctAnswer
134$\degree$

Answers

Is Correct?Answer
x

80°\degree

x

114°\degree

x

124°\degree

✓

134°\degree

Variant 4

DifficultyLevel

509

Question

In the picture below:

  • ∠\anglePQR = 19°\degree
  • ∠\angleRQS = 55°\degree


What is the size of ∠\anglePQS?

Worked Solution
∠\anglePQS = ∠\anglePQR + ∠\angleRQS
= 19 + 55
= 74°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
angle1
$\angle$PQR
size1
19
angle2
$\angle$RQS
size2
55
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q41var5.svg 160 indent3 vpad
angle3
$\angle$PQS
correctAnswer
74$\degree$

Answers

Is Correct?Answer
x

36°\degree

x

64°\degree

✓

74°\degree

x

80°\degree