Question

Name this angle using the following picture

Answer 1

Answer:

x = 42°

Step-by-step explanation:

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

$\therefore \: \angle JML + \angle LMN = 180 \degree \\ \therefore \: 3x + 54 \degree = 180 \degree \\ \therefore \: 3x = 180 \degree - 54 \degree \\ \therefore \: 3x = 126 \degree \\ \therefore \: x = \frac{126 \degree}{3} \\ \therefore \: x = 42\degree$