Question #84712

Find the measure of Angle 2.

measure of angle 1 = x
measure of angle 2 = x-6

Expert's answer

Answer on Question #84712 – Math – Geometry

Question

Find the measure of Angle 3.

measure of angle 1=x1 = x

measure of angle 2=x62 = x - 6

Solution

These angles are the angles in the triangle. Then

m1+m2+m3=180m\angle 1 + m\angle 2 + m\angle 3 = 180{}^{\circ}

Substitute

x+x6+m3=180x + x - 6 + m\angle 3 = 180

m3=(1862x)m\angle 3 = (186 - 2x){}^{\circ}

m3=(1862x),6<x<93.m\angle 3 = (186 - 2x){}^{\circ}, 6{}^{\circ} < x < 93{}^{\circ}.

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