50056

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

592

Question

The triangle below is isosceles.

What is the size of the shaded reflex angle in the diagram?

Worked Solution
x\large x° = 180 − (15 + 15)
= 150°

∴\therefore Shaded angle = 360 −- 150
= 210°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The triangle below is isosceles. What is the size of the shaded reflex angle in the diagram?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-G4-NC20.svg 335 indent3 vpad
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-G4-NC20-Answer.svg 310 indent2 vpad
| | | | -----: | -------------- | | $\large x$° | \= 180 − (15 + 15) | | | \= 150° |
| | | | -----: | -------------- | | $\therefore$ Shaded angle| \= 360 $-$ 150| | | \= {{{correctAnswer}}} |
correctAnswer
210°

Answers

Is Correct?Answer
x

70°

x

145°

✓

210°

x

230°

Variant 1

DifficultyLevel

591

Question

The triangle below is isosceles.

What is the size of the angle marked with an x\large x?

Worked Solution
y\large y° = 180 − (25 + 25)
= 130°

∴\therefore x\large x° = 360 −- 130
= 230°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The triangle below is isosceles. What is the size of the angle marked with an $\large x$?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50056_v1.svg 300 indent3 vpad
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50056_v1ws.svg 300 indent2 vpad
| | | | -----: | -------------- | | $\large y$° | \= 180 − (25 + 25) | | | \= 130° |
| | | | -----: | -------------- | | $\therefore$ $\large x$°| \= 360 $-$ 130| | | \= {{{correctAnswer}}} |
correctAnswer
230°

Answers

Is Correct?Answer
x

105°

x

220°

x

225°

✓

230°

Variant 2

DifficultyLevel

596

Question

The triangle below is isosceles.

What is the size of the angle marked with an x\large x?

Worked Solution
y\large y° = 180 − (24 + 24)
= 132°

∴\therefore x\large x° = 360 −- 132
= 228°

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The triangle below is isosceles. What is the size of the angle marked with an $\large x$?
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50056_v2.svg 250 indent3 vpad
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_50056_v2ws.svg 250 indent2 vpad
| | | | -----: | -------------- | | $\large y$° | \= 180 − (24 + 24) | | | \= 132° |
| | | | -----: | -------------- | | $\therefore$ $\large x$°| \= 360 $-$ 132| | | \= {{{correctAnswer}}} |
correctAnswer
228°

Answers

Is Correct?Answer
x

155°

✓

228°

x

312°

x

336°

Tags