Question

∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)

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and m\angle B=(5x+2)^{\circ}∠B=(5x+2)
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, then find the measure of \angle A∠A.

Answer 1

Angle A is 168 degrees and angle B is 12 degrees.

Step-by step explanation:

x=14y

14y+y=180

15y=180

y=12

x=168

Answer 2

`\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78`