in a triangle an exterior angle is 7x and its opposite interior angles are 3 X + 16 and 3 X + 4 find the biggest angle
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in a triangle an exterior angle is 7x and its opposite interior angles are 3 X + 16 and 3 X + 4 find the biggest angle
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Answer:
∠A
Step-by-step explanation:
(3x+16) + (3x+4) = 7x ...ext. angle property
6x+20= 7x
20 = x
Therefore, the angles are
∠A = 3(20)+16 = 76°
∠B = 3(20)+4 = 64°
∠C = 180-(A+B) ...Angles summ property
∠C = 180-140 = 40°
Therefore, the biggest angle is ∠A