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.

Question

asked Dec 20, 2022 228k views

1 Answer

Jmena · Answer 1 · 2022-12-27T10:44:12+0000

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