Question

What will be the value of a, b and c if the exterior angle is 110°?

Answer 1

Answer:

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Answer 2

Answer:

Then by using the concept of the exterior angle property of the triangle, we get

∠A+∠B=110∘

It is given that the angle A is 30∘

. Then by putting the value of A in the above equation, we get

⇒30∘+∠B=110∘

Subtracting 30∘

from both sides, we get

⇒∠B=110∘−30∘

⇒∠B=80∘

We know that the sum of all the angles of a triangle is equal to 180∘

. Therefore, we get

∠A+∠B+∠C=180∘

By putting the value of angle A and angle B, we get

⇒30∘+80∘+∠C=180∘

Adding the terms, we get

⇒110∘+∠C=180∘

Subtracting the terms, we get

⇒∠C=180∘−110∘

⇒∠C=70∘

Hence, the value of the remaining angles of the triangle is 80∘

and 70∘