Question

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

Please show workings.

The only given angle is 58°.

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

Answer 1

angle )) = 22°

Explanation:

the imbedded triangle is a right triangle because the hypotenuse is the diameter.

the angle at "))" is 90 - 58 = 22°

Answer 2

• 32°

Explanation:

The inscribed triangle is right as one side lies on the diameter.

The missing angle is complementary with the given:

• 90° - 58° = 32°