The exterior angles obtained on producing the base of a triangle both ways are 100°abd 120° . find all the angles
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Answer:
∠A=40°,∠B=80°,∠C=60°
Explanation:
in ΔABC, D and E are the exterior sides of base BC.
then,
∠ABD=100°
and
∠ACD=120°
∠100+∠B=180° (linear pair) ∠B=80°
∠120+∠C=180 ° (linear pair) ∠C=60°
∠A+∠B+∠C=180°
∠A=180°-140°
∠A=40°
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