If angle LNM =8x+12 and angle JNL =12x-32, find the measure of angle JNP.(JNP and LNM are congruent.

1 answer:

3 0

$Sum\ of\ congrugent\ angles\ is\ 180^{\circ}.\\\\
LNM+JNL=180^{\circ}\\\\
8x+12+12x-32=180\\\\
20x-20=180 \ \ \ |Add\ 20\\\\
20x=200\ \ \ |Divide\ by\ 20\\\\
x=10\\\\
JNL=12x-32=12*10-32=120-32=88^{\circ}$

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