Aram has been studying the mathematics behind pinball machines. He made the following diagram of one of his observations. Determine the measure of the missing angle.

Given:

A diagram of Aram's observations.

To find:

The measure of the missing angle.

Solution:

From the given figure it is clear that the three angles lie on a single point and right side of a straight line.

So, the sum of angle must be .

Therefore, the measure of the missing angle is .