Question

Name this angle using the following picture

Answer 1

x = 42°

Explanation:

`\angle JML \:and\:\angle LMN` Linear pair angles or straight line angles.

`\therefore \: \angle JML + \angle LMN = 180 \degree \\ \therefore \: 3x + 54 \degree = 180 \degree \\ \therefore \: 3x = 180 \degree - 54 \degree \\ \therefore \: 3x = 126 \degree \\ \therefore \: x = (126 \degree)/(3) \\ \therefore \: x = 42\degree \\`