50052

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

579

Question


What is the size of the shaded angle?

Worked Solution

Let x\large x°\degree = unknown angle
15 + 55 + x\large x = 180°\degree
∴x\therefore \large x°\degree = 180 −- 70
= 110°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img //teacher.smartermaths.com.au/wp-content/uploads/2017/02/naplan-Y7-2010-15mca.png 220 indent3 vpad
What is the size of the shaded angle?
workedSolution
sm_nogap Let $\large x$$\degree$ = unknown angle
> > | | | > > | -----------------------------: | ------------------ | > > | 15 + 55 + $\large x$ | \= 180$\degree$ | > > | $\therefore \large x$$\degree$ | \= 180 $-$ 70 | > > | | \= {{{correctAnswer}}} |
correctAnswer
110°

Answers

Is Correct?Answer
x

105°

✓

110°

x

120°

x

125°

Variant 1

DifficultyLevel

574

Question


What is the size of the angle labelled m\large m°\degree?

Worked Solution

The angle sum of a triangle = 180°\degree
32 + 110 + m\large m = 180°\degree
∴m\therefore \large m°\degree = 180 −- 142
= 38°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_50052_v2.svg 270 indent3 vpad
What is the size of the angle labelled $\large m$$\degree$?
workedSolution
sm_nogap The angle sum of a triangle = 180$\degree$
> > | | | > > | -----------------------------: | ------------------ | > > | 32 + 110 + $\large m$ | \= 180$\degree$ | > > | $\therefore \large m$$\degree$ | \= 180 $-$ 142 | > > | | \= {{{correctAnswer}}} |
correctAnswer
38°

Answers

Is Correct?Answer
✓

38°

x

58°

x

70°

x

142°

Variant 2

DifficultyLevel

577

Question


What is the size of the angle labelled x\large x°\degree?

Worked Solution

The angle sum of a triangle = 180°\degree
92 + 53 + x\large x = 180°\degree
∴x\therefore \large x°\degree = 180 −- 145
= 35°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_50052_v1.svg 250 indent3 vpad
What is the size of the angle labelled $\large x$$\degree$?
workedSolution
sm_nogap The angle sum of a triangle = 180$\degree$
> > | | | > > | -----------------------------: | ------------------ | > > | 92 + 53 + $\large x$ | \= 180$\degree$ | > > | $\therefore \large x$$\degree$ | \= 180 $-$ 145 | > > | | \= {{{correctAnswer}}} |
correctAnswer
35°

Answers

Is Correct?Answer
x

145°

x

143°

x

47°

✓

35°

Variant 3

DifficultyLevel

576

Question


What is the size of the angle labelled x\large x°\degree?

Worked Solution

The angle sum of a triangle = 180°\degree
120 + 19 + x\large x = 180°\degree
∴x\therefore \large x°\degree = 180 −- 139
= 41°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_50052_v3.svg 320 indent3 vpad
What is the size of the angle labelled $\large x$$\degree$?
workedSolution
sm_nogap The angle sum of a triangle = 180$\degree$
> > | | | > > | -----------------------------: | ------------------ | > > | 120 + 19 + $\large x$ | \= 180$\degree$ | > > | $\therefore \large x$$\degree$ | \= 180 $-$ 139 | > > | | \= {{{correctAnswer}}} |
correctAnswer
41°

Answers

Is Correct?Answer
x

30°

✓

41°

x

60°

x

161°

Variant 4

DifficultyLevel

575

Question


What is the size of the angle labelled p°\large p \degree?

Worked Solution

The angle sum of a triangle = 180°\degree
59 + 63 + p\large p = 180°\degree
∴p°\therefore \large p \degree = 180 −- 122
= 58°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_50052_v4.svg 200 indent3 vpad
What is the size of the angle labelled $\large p \degree$?
workedSolution
sm_nogap The angle sum of a triangle = 180$\degree$
> > | | | > > | -----------------------------: | ------------------ | > > | 59 + 63 + $\large p$ | \= 180$\degree$ | > > | $\therefore \large p \degree$ | \= 180 $-$ 122 | > > | | \= {{{correctAnswer}}} |
correctAnswer
58°

Answers

Is Correct?Answer
✓

58°

x

59°

x

63°

x

117°

Variant 5

DifficultyLevel

574

Question


What is the size of the angle labelled t\large t°\degree?

Worked Solution

The angle sum of a triangle = 180°\degree
18 + 22 + t\large t = 180°\degree
∴t\therefore \large t°\degree = 180 −- 40
= 140°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_50052_v5.svg 380 indent3 vpad
What is the size of the angle labelled $\large t$$\degree$?
workedSolution
sm_nogap The angle sum of a triangle = 180$\degree$
> > | | | > > | -----------------------------: | ------------------ | > > | 18 + 22 + $\large t$ | \= 180$\degree$ | > > | $\therefore \large t$$\degree$ | \= 180 $-$ 40 | > > | | \= {{{correctAnswer}}} |
correctAnswer
140°

Answers

Is Correct?Answer
x

40°

x

68°

x

72°

✓

140°

Tags