In ∆ABC, ∠ACD is an exterior angle, if ∠A = 50° and ∠B = 80°, then the measure of ∠ACD is _______
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Answer:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Hence, In this case ∠A and ∠B
So,
∠A+∠B=140
∘
as ∠A=∠B
or,2∠A=140
∘
∠A=∠B=70
∘
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We know that exterior angle of a triangle is equal to the sum of it's opposite interior angle.
So, ∠ACD = ∠A + ∠B
⠀ ⠀⠀⠀⠀⠀= 50° + 80°
⠀ ⠀⠀⠀⠀⠀= 130° ans.
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