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X=
The measure of the exterior angle of the triangle is:


X= The measure of the exterior angle of the triangle is: ​-example-1

2 Answers

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Answer:

x= 52

exterior =102

Explanation:

50+x=3x-54

50+54=3x-×

104=2x

52=x

3(52)-54

156-54=102

User Greg Spears
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4 votes

Explanation:

We know that


\sf \hookrightarrow \: \boxed{ \sf \: sum \: of \: two \: interior \: angles = exterior \: angle} \\ \sf \hookrightarrow \: 50 + x = 3x - 54 \\ \sf \hookrightarrow \: x - 3x = - 54 - 50 \\ \sf \hookrightarrow \: - 2x = - 104 \\ \sf \hookrightarrow \: 2x = 104 \\ \sf \hookrightarrow \: x = (104)/(2) \\ \sf \hookrightarrow \: x = 52

User Fuesika
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