Question

LN is tangent to circle O at point M and QM is a diameter. Determine the measure of the following angles.

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

QM is the diameter given.

NL is the tangent given.

The tangent makes 90 degree angle with diameter.

hence the angle QML will be : 90°   ...............   Answer

Similarly, QMN will also be 90°

The angle PMQ is given as 27°

Hence the angle PMN will be = $90-27$

Hence the angle PMN will be = $63$°   .....................   Answer

Hope it will help :)