Question

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

Answer 1

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