Angles in a triangle add up to 180° and in quadrilaterals add up to 360°. Angles can be calculated inside semicircles and circles. Parallel lines in shapes can form corresponding and alternate angles.

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

\[55^\circ\]

\[125^\circ\]

\[180^\circ\]

\[23^\circ\]

\[67^\circ\]

\[90^\circ\]

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

\[43^\circ\]

\[53^\circ\]

\[127^\circ\]

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

\[33^\circ\]

\[147^\circ\]

In this diagram what is the value of e?

\[45^\circ\]

\[135^\circ\]

In this diagram what is the value of f?

\[57^\circ\]

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

\[30^\circ\]

\[60^\circ\]

\[120^\circ\]

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

\[50^\circ\]

\[65^\circ\]

\[130^\circ\]

For this rectangle what is the value of i?

For this kite what is the value of k?

\[13^\circ\]

\[77^\circ\]

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

\[25^\circ\]

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

\[16^\circ\]

\[74^\circ\]

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

\[32^\circ\]

\[58^\circ\]

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

\[35^\circ\]

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

4.4cm

4.5cm

7.2cm