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In the following diagram DE | FG and KL 1 FG. Ancies bet What is the measure of Zz? Angles are not necessarily drawn to scale Given the following: Wiangle a I Kt D E A B G 63 L LI

In the following diagram DE FG and KL 1 FG Ancies bet What is the measure of Zz Angles are not necessarily drawn to scale Given the following Wiangle a I Kt D E class=

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Explanation:

Triangle BAC is a right triangle because Angles [tex]m\angle BCA=63º[/tex]The sum of the measures of the interior angles of any triangle is 180º:

[tex]\begin{gathered} m\angle BCA+m\angle ABC+m\angle BAC=180º \\ 63º+90º+m\angle BAC=180º \\ m\angle BAC=180º-63º-90º=27º \end{gathered}[/tex]

And angles [tex]\begin{gathered} m\angle BAC=m\angle\text{KAI} \\ 27º=xº \end{gathered}[/tex]Answer:

x = 27

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