Answer:
[tex]9 = x[/tex]
Step-by-step explanation:
Set the exterior angle equal to its opposite side:
[tex]13x + 13 = 6x + 76[/tex]
-13x - 13x
_______________________
13 = -7x + 76
-76 - 76
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-63 = -7x
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-7 -7
9 = x
* The way we could confirm this is to plug this back into all the equations for every x you see and get this:
70° = m∠E, therefore...
50° = m∠G
180° = 50° + 70° + 60°
** Then, since 13 + 13x and the m∠G form a linear pair, according to the Supplementary Angles Theorem, we have this [bottom]:
130° = 13 + 13[9]
117
180° = 50° + 130° ☑☑☑
CONFIRMED!
I am joyous to assist you anytime.
