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2 years ago

If m angle KNM = (8x - 5)° and m angle MNJ = (4x - 19)° , find the measure of angle KNM.

Mathematics

1 answer:

Murrr4er [49]2 years ago

4 0

Answer:

131°

Step-by-step 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°

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If m angle KNM = (8x - 5)° and m angle MNJ = (4x - 19)° , find the measure of angle KNM. ​

If m angle KNM = (8x - 5)° and m angle MNJ = (4x - 19)° , find the measure of angle KNM.