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Evgesh-ka [11]
3 years ago
8

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

Mathematics
1 answer:
Murrr4er [49]3 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°

<em>Simplify:</em>

12x -24= 180

<em>+</em><em>2</em><em>4</em><em> </em><em>on </em><em>both </em><em>sides</em><em>:</em>

12x= 180 +24

12x= 204

<em>Divide</em><em> </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>2</em><em>:</em>

x= 204 ÷12

x= 17

∡KNM

= (8x -5)°

= [8(17) -5]°

= (136 -5)°

= 131°

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