Question

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.

Answer 1

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
`52^\circ,x^\circ,68^\circ` lie on a single point and right side of a straight line.

So, the sum of angle
`52^\circ,x^\circ,68^\circ` must be
`180^\circ`.

`52^\circ+x^\circ+68^\circ=180^\circ`

`x^\circ+120^\circ=180^\circ`

`x^\circ=180^\circ-120^\circ`

`x^\circ=60^\circ`

Therefore, the measure of the missing angle is
`x^\circ=60^\circ`.