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Aleksandr-060686 [28]
2 years ago
6

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

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

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 <em>corresponding angles</em> 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}

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