## Equal Angles

#### Problem

In the square ABCD, M is the midpoint of AB.

A line is drawn through M perpendicular to CM to locate N.

Prove that the size of angle BCM is equal to the size of angle MCN.

Problem ID: 196 (21 Dec 2004) Difficulty: 2 Star

In the square ABCD, M is the midpoint of AB.

A line is drawn through M perpendicular to CM to locate N.

Prove that the size of angle BCM is equal to the size of angle MCN.

Problem ID: 196 (21 Dec 2004) Difficulty: 2 Star