Question

Find the value of the marked angles in each of the following ( see image ).

Please show workings.

The only given angles are 62° and 85°.

The angle to look for is marked by “))”​

Answer 1

(180-62)

118

180-118=62

180-85=95

180-(62+95)

180-157

23

Answer 2

• 23°

Explanation:

The inscribed is the cyclic quadrilateral.

The opposite angles are supplementary in cyclic quadrilaterals.

The angle opposite to 85° is:

• 180° - 85° = 95°

The missing angle of the triangle is:

• 180° - (62° + 95°) = 23°