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