Question

In ΔMQN, m b. Find the measure of <2. Show all work.

Answer 1

Answer:

131°

Explanation:

Since KNJ is a straight line,

∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)

(8x -5)° +(4x -19)°= 180°

Simplify:

12x -24= 180

+24 on both sides:

12x= 180 +24

12x= 204

Divide both sides by 12:

x= 204 ÷12

x= 17

∡KNM

= (8x -5)°

= [8(17) -5]°

= (136 -5)°

= 131°