Question

1. ZLMN and ZPML are linear pairs m Z LMN = 7x – 3, and mZPML =


13x + 3

Answer 1

x=9

`\angle LMN=60^\circ; \\\angle PML=120^\circ`

Explanation:

If
`\angle LMN $and $ \angle PML` are linear pairs; then:

`\angle LMN + \angle PML=180^\circ$ (Linear Postulate)\\\angle LMN=7x -3; \angle PML=13x + 3\\Therefore:\\7x -3+13x + 3=180^\circ\\20x=180^\circ\\x=9`

Therefore:

`\angle LMN=7(9) -3=63-3=60^\circ; \\\angle PML=13(9) + 3=117+3=120^\circ`