Angles test questions

1

In this diagram what is the value of \(x\)?

Diagonal line joining a horizontal line. One side has an angle of 125° the other is x°

\[55^\circ\]

\[125^\circ\]

\[180^\circ\]

2

In this diagram what is the value of \(x\)?

Diagonal lines creating 3 angles. One side has an angle of 167° one is a right angle

\[23^\circ\]

\[67^\circ\]

\[90^\circ\]

3

In this diagram two lines are marked as being parallel. What is the value of c?

Diagonal line crossing two parallel lines, the angle between the lines is 127°

\[43^\circ\]

\[53^\circ\]

\[127^\circ\]

4

In this diagram two lines are marked as being parallel. What is the value of d?

Z shaped with parallel lines with an angle of 33°

\[23^\circ\]

\[33^\circ\]

\[147^\circ\]

5

In this diagram what is the value of e?

X shape with one angle of 135° and an opposite angle of e°

\[45^\circ\]

\[55^\circ\]

\[135^\circ\]

6

In this diagram what is the value of f?

Diagram of a scalene triangle with angles of 80°, 67° and an unknown angle marked as f°

\[33^\circ\]

\[57^\circ\]

\[147^\circ\]

7

This triangle is isosceles. What is the value of g?

An isosceles triangle with a base angle of 30° and an unknown angle labelled as g°

\[30^\circ\]

\[60^\circ\]

\[120^\circ\]

8

This triangle is isosceles. What is the value of h?

An isosceles triangle with a base angle of 65° and an unknown angle labelled as h°

\[50^\circ\]

\[65^\circ\]

\[130^\circ\]

9

For this rectangle what is the value of i?

Rectangle made of 4 isosceles triangles, one with a 30° base angle

\[30^\circ\]

\[60^\circ\]

\[90^\circ\]

10

For this kite what is the value of k?

Diagram of a kite with a 77° angle within a circle

\[13^\circ\]

\[77^\circ\]

\[90^\circ\]

11

In the diagram PQ is a diameter of the circle.What is the value of \(x\)?

Diagram of a right-angled scalene triangle with a 65° angle and x° angle within a circle

\[25^\circ\]

\[65^\circ\]

\[90^\circ\]

12

In the diagram AB is a diameter of the circle.What is the size of angle ABC?

Diagram of a right-angled scalene triangle with a 74° angle

\[16^\circ\]

\[74^\circ\]

\[90^\circ\]

13

In the diagram PT is a tangent and CT is a radius of the circle.What is the value of y?

Diagram of a right-angled scalene triangle with a 58° angle within a circle

\[32^\circ\]

\[58^\circ\]

\[90^\circ\]

14

In the diagram KL is a tangent and MK is a diameter of the circle.What is the size of angle MLK?

Diagram of a right-angled scalene triangle with a 55° angle within a circle

\[35^\circ\]

\[55^\circ\]

\[90^\circ\]

15

In the diagram EG is a diameter of the circle.What is the length of EG? (Give your answer correct to one decimal place).

Diagram of a right-angled scalene triangle within a circle, dimensions 4cm x 6cm x unknown

4.4cm

4.5cm

7.2cm