50037

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

597

Question

In the diagram, ACDACD is a straight line.



What is the size of angle BCEBCE?

Worked Solution
∠\angleBCABCA = 180 −- (81 + 51) (180° in triangle)
= 48°

∴\therefore ∠\angleBCEBCE = 180 −- (48 + 45) (∠\angleACDACD is a straight angle)
= 87°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
In the diagram, $ACD$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/12/NAP-A4-CA13.svg 260 indent3 vpad
What is the size of angle $BCE$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/12/NAP-A4-CA13-Answer.svg 260 indent vpad
| | | | ----------------: | -------------- | | $\angle$$BCA$ | \= 180 $-$ (81 + 51) ` ` (180° in triangle) | | | \= 48° |

| | | | ---------------------------: | -------------- | | $\therefore$ $\angle$$BCE$ | \= 180 $-$ (48 + 45) ` ` ($\angle$$ACD$ is a straight angle) | | | \= {{{correctAnswer}}} |
correctAnswer
87°

Answers

Is Correct?Answer
x

45°

x

48°

x

51°

✓

87°

Variant 1

DifficultyLevel

596

Question

In the diagram, ACDACD is a straight line.



What is the size of angle BCEBCE?

Worked Solution
∠\angleBCABCA = 180 −- (49 + 50) (180° in triangle)
= 81°

∴\therefore ∠\angleBCEBCE = 180 −- (81 + 23) (∠\angleACDACD is a straight angle)
= 76°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
In the diagram, $ACD$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v1q.svg 300 indent2 vpad
What is the size of angle $BCE$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v1ws.svg 300 indent vpad
| | | | ----------------: | -------------- | | $\angle$$BCA$ | \= 180 $-$ (49 + 50) ` ` (180° in triangle) | | | \= 81° |

| | | | ---------------------------: | -------------- | | $\therefore$ $\angle$$BCE$ | \= 180 $-$ (81 + 23) ` ` ($\angle$$ACD$ is a straight angle) | | | \= {{{correctAnswer}}} |
correctAnswer
76°

Answers

Is Correct?Answer
✓

76°

x

81°

x

99°

x

156°

Variant 2

DifficultyLevel

595

Question

In the diagram, ACDACD is a straight line.


What is the size of angle BCEBCE?

Worked Solution
∠\angleBCABCA = 180 −- (30 + 123) (180° in triangle)
= 27°

∴\therefore ∠\angleBCEBCE = 180 −- (63 + 27) (∠\angleACDACD is a straight angle)
= 90°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
In the diagram, $ACD$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v2q.svg 380 indent vpad
What is the size of angle $BCE$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v2ws.svg 380 indent vpad
| | | | ----------------: | -------------- | | $\angle$$BCA$ | \= 180 $-$ (30 + 123) ` ` (180° in triangle) | | | \= 27° |

| | | | ---------------------------: | -------------- | | $\therefore$ $\angle$$BCE$ | \= 180 $-$ (63 + 27) ` ` ($\angle$$ACD$ is a straight angle) | | | \= {{{correctAnswer}}} |
correctAnswer
90°

Answers

Is Correct?Answer
x

27°

✓

90°

x

150°

x

153°

Variant 3

DifficultyLevel

594

Question

In the diagram, ACDACD is a straight line.



What is the size of angle BCEBCE?

Worked Solution
∠\angleBCABCA = 180 −- (29 + 39) (180° in triangle)
= 112°

∴\therefore ∠\angleBCEBCE = 180 −- (112 + 20) (∠\angleACDACD is a straight angle)
= 48°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
In the diagram, $ACD$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v3q.svg 350 indent vpad
What is the size of angle $BCE$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v3ws.svg 350 indent vpad
| | | | ----------------: | -------------- | | $\angle$$BCA$ | \= 180 $-$ (29 + 39) ` ` (180° in triangle) | | | \= 112° |

| | | | ---------------------------: | -------------- | | $\therefore$ $\angle$$BCE$ | \= 180 $-$ (112 + 20) ` ` ($\angle$$ACD$ is a straight angle) | | | \= {{{correctAnswer}}} |
correctAnswer
48°

Answers

Is Correct?Answer
✓

48°

x

68°

x

88°

x

112°

Variant 4

DifficultyLevel

593

Question

In the diagram, ACDACD is a straight line.


What is the size of angle BCEBCE?

Worked Solution
∠\angleBCABCA = 180 −- (63 + 63) (180° in triangle)
= 54°

∴\therefore ∠\angleBCEBCE = 180 −- (54 + 44) (∠\angleACDACD is a straight angle)
= 82°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
In the diagram, $ACD$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v4q.svg 380 indent vpad
What is the size of angle $BCE$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v4ws.svg 380 indent vpad
| | | | ----------------: | -------------- | | $\angle$$BCA$ | \= 180 $-$ (63 + 63) ` ` (180° in triangle) | | | \= 54° |

| | | | ---------------------------: | -------------- | | $\therefore$ $\angle$$BCE$ | \= 180 $-$ (54 + 44) ` ` ($\angle$$ACD$ is a straight angle) | | | \= {{{correctAnswer}}} |
correctAnswer
82°

Answers

Is Correct?Answer
x

54°

x

63°

✓

82°

x

98°

Variant 5

DifficultyLevel

593

Question

In the diagram, ACDACD is a straight line.


What is the size of angle BCEBCE?

Worked Solution
∠\angleBCABCA = 180 −- (46 + 74) (180° in triangle)
= 60°

∴\therefore ∠\angleBCEBCE = 180 −- (39 + 60) (∠\angleACDACD is a straight angle)
= 81°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
In the diagram, $ACD$ is a straight line.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v5q.svg 280 indent vpad
What is the size of angle $BCE$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50073_v5ws.svg 280 indent vpad
| | | | ----------------: | -------------- | | $\angle$$BCA$ | \= 180 $-$ (46 + 74) ` ` (180° in triangle) | | | \= 60° |

| | | | ---------------------------: | -------------- | | $\therefore$ $\angle$$BCE$ | \= 180 $-$ (39 + 60) ` ` ($\angle$$ACD$ is a straight angle) | | | \= {{{correctAnswer}}} |
correctAnswer
81°

Answers

Is Correct?Answer
x

120°

x

99°

✓

81°

x

60°

Tags