3. Exterior angle, ZACD of a triangle is 100° and
ZA and ZB are in the ratio 3 : 2. Find all the
angles of the triangle.
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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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