Question

Find the measure of MNI. please help! i’ll give you brainlist!

Answer 1

135 degrees the two equations in the the triangle are equal to the angle you need to find

Answer 2

Answer:

$m\angle MNI = 135^{\circ}$

Step by step explanation:

$\text{The exterior angle of a triangle = sum of two opposite interior angles.}$

$~~~~~~\angle MNI = \angle LMN + \angle MLN\\\\\implies 19x+2=(15x-12)+6x\\\\\implies 19x +2 = 21x-12\\\\\implies 21x -19x = 12+2\\\\\implies 2x = 14\\\\\implies x=\dfrac {14}2\\\\\implies x = 7\\\\\text{So,}~ m\angle MNI = 19(7)+2=135^{\circ}$