Question

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

Please show workings.

The only given angle is 40°

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

Answer 1

• 50°

Explanation:

Assumed that 40° is the angle of the smaller triangle.

The missing angle is complementary with 40° as part of similar triangles and intercepted arcs.

Its measure:

• 90° - 40° = 50°