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In ABC, what is the value of x? Pls hurry im on a time limit here
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In ABC, what is the value of x?

Pls hurry im on a time limit here

In ABC, what is the value of x? Pls hurry im on a time limit here-example-1
User Sankalp Bhatt
by
4.3k points

1 Answer

9 votes

Answer:

70

Explanation:

By exterior angle theorem:


(2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = (280)/(4) \\ \\ x = 70

User Minorblend
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