Question

One of the angles of a triangle is 110° and the other two angles are equal. What is the
measure of each of these equal angles?
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Answer 1

Answer:

Let the equal angles be x.

= x+x+110 degree = 180 degree (sum of all angles of a triangle)

= 2x = 180-110 degree

= x = 70/2 degree

= 35 degree.

Hence measure of each angles is 35 degree.

Step-by-step explanation:

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Answer 2

Given :-

One angle = 110°

Other two angles are equal

Consider :-

Triangle ABC

Angle C = 110°

Angle A = Angle B

To find :-

The two equal angles i.e A = B

Solution :-

We know ,

∠ A + ∠B + ∠C = 180 {Angle sum property}

⇒ 2∠A = 180° - ∠C {∠A = ∠B}

⇒ 2∠A = 180° - 110°

⇒ 2∠A = 70°

⇒ ∠A = ⁷⁰°/₂ = 35°

∴ ∠A = ∠B = 35°

The  measure of each of these equal angles = 35°

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