Question

In the following diagram HI || JK.What is the measure of Angles are not necessarily drawn to scale.

Answer 1

ANSWER

xº = 52º

EXPLANATION

Since segments HI and JK are parallel, we can see segment AK as a transversal:

So angle JKA and angle HIA are corresponding angles and they are congruent.

Then we have triangle HAI, and we have two of the angle's measures. The sum of the measures of the interior angles of a triangle is 180º:

$xº+66º+62º=180º$

Solving for x:

$\begin{gathered} xº+128º=180º \\ xº=180º-128º \\ xº=52º \end{gathered}$