Question

In ΔLMN, LN‾LN is extended through point N to point O, m∠NLM=(x−4) m∠NLM=(x−4), m∠MNO=(4x−17) m∠MNO=(4x−17),and m∠LMN=(x+9) m∠LMN=(x+9) What is the value ofx?

Answer 1

x = 11

Explanation:

Here we want to calculate the value of x

From the information we are given, we have two interior angles which add up to give an exterior angle

In this case;

4x - 17 = x - 4 + x + 9

4x - 17 = 2x + 5

4x-2x = 5 + 17

2x = 22

x = 22/2

x = 11