Geometry, NAPX-G3-CA17

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

587

Question

Which of the angles in this shape is closest to 80°\degree?

Worked Solution

By inspection:

Angles a\large a and c\large c are both obtuse (greater than 90°\degree)

Angle b\large b is close to 45°\degree.

∴\therefore Angle d\large d ≈ 80°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA17.svg 260 indent vpad Which of the angles in this shape is closest to 80$\degree$?
workedSolution
By inspection: Angles $\large a$ and $\large c$ are both obtuse (greater than 90$\degree$) Angle $\large b$ is close to 45$\degree$. $\therefore$ Angle {{{correctAnswer}}} ≈ 80$\degree$
correctAnswer
$\large d$

Answers

Is Correct?Answer
x

a\large a

x

b\large b

x

c\large c

✓

d\large d

Variant 1

DifficultyLevel

587

Question

Which of the angles in this shape is closest to 60°\degree?

Worked Solution

By inspection:

Angles b\large b and d\large d are both obtuse (greater than 90°\degree)

Angle a\large a is close to 45°\degree.

∴\therefore Angle c\large c ≈ 60°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA17_v1.svg 120 indent vpad Which of the angles in this shape is closest to 60$\degree$?
workedSolution
By inspection: Angles $\large b$ and $\large d$ are both obtuse (greater than 90$\degree$) Angle $\large a$ is close to 45$\degree$. $\therefore$ Angle {{{correctAnswer}}} ≈ 60$\degree$
correctAnswer
$\large c$

Answers

Is Correct?Answer
x

a\large a

x

b\large b

✓

c\large c

x

d\large d

Variant 2

DifficultyLevel

587

Question

Which of the angles in this shape is closest to 45°\degree?

Worked Solution

By inspection:

Angles a\large a and c\large c are both obtuse (greater than 90°\degree)

Angle d\large d is bigger than 45°\degree.

∴\therefore Angle b\large b ≈ 45°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA17.svg 260 indent vpad Which of the angles in this shape is closest to 45$\degree$?
workedSolution
By inspection: Angles $\large a$ and $\large c$ are both obtuse (greater than 90$\degree$) Angle $\large d$ is bigger than 45$\degree$. $\therefore$ Angle {{{correctAnswer}}} ≈ 45$\degree$
correctAnswer
$\large b$

Answers

Is Correct?Answer
x

a\large a

✓

b\large b

x

c\large c

x

d\large d

Variant 3

DifficultyLevel

587

Question

Which of the angles in this shape is closest to 30°\degree?

Worked Solution

By inspection:

Angles b\large b and d\large d are both obtuse (greater than 90°\degree)

Angle c\large c ≈ 60°\degree.

∴\therefore Angle a\large a ≈ 30°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA17_v1.svg 120 indent vpad Which of the angles in this shape is closest to 30$\degree$?
workedSolution
By inspection: Angles $\large b$ and $\large d$ are both obtuse (greater than 90$\degree$) Angle $\large c$ ≈ 60$\degree$. $\therefore$ Angle {{{correctAnswer}}} ≈ 30$\degree$
correctAnswer
$\large a$

Answers

Is Correct?Answer
✓

a\large a

x

b\large b

x

c\large c

x

d\large d

Variant 4

DifficultyLevel

587

Question

Which of the angles in this shape is closest to 20°\degree?

Worked Solution

By inspection:

Angle d\large d is reflex (greater than 180°\degree less than 360°\degree)

Angle a\large a ≈ 70°\degree

Angle b\large b ≈ 40°\degree

∴\therefore Angle c\large c ≈ 20°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA17_v4.svg 360 indent vpad Which of the angles in this shape is closest to 20$\degree$?
workedSolution
By inspection: Angle $\large d$ is reflex (greater than 180$\degree$ less than 360$\degree$) Angle $\large a$ ≈ 70$\degree$ Angle $\large b$ ≈ 40$\degree$ $\therefore$ Angle {{{correctAnswer}}} ≈ 20$\degree$
correctAnswer
$\large c$

Answers

Is Correct?Answer
x

a\large a

x

b\large b

✓

c\large c

x

d\large d

Tags