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 [tex]52^\circ,x^\circ,68^\circ[/tex] lie on a single point and right side of a straight line.
So, the sum of angle [tex]52^\circ,x^\circ,68^\circ[/tex] must be [tex]180^\circ[/tex].
[tex]52^\circ+x^\circ+68^\circ=180^\circ[/tex]
[tex]x^\circ+120^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-120^\circ[/tex]
[tex]x^\circ=60^\circ[/tex]
Therefore, the measure of the missing angle is [tex]x^\circ=60^\circ[/tex].
