Question

Aram has been studying the mathematics behind pinball machines. He made the following diagram of one of his

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 $x^\circ=60^\circ$.