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

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asked Jul 6, 2022 78.9k views

8 votes

In ABC, what is the value of x?

Pls hurry im on a time limit here

Mathematics
high-school

Sankalp Bhatt asked

by Sankalp Bhatt

7.8k points

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1 Answer

9 votes

Answer:

Explanation:

By exterior angle theorem:

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