Question

in a triangle abc angle A minus angle b is equal to 15 degree angle B minus angle C is equal to 30 degree find the measure of each angle of the triangle ​

Answer 1

║⊕ANSWER⊕║

Given,

In triangle ABC,

∠A - ∠B = 30° ⇒ ∠A = 30° + ∠B ------(1)

∠B - ∠C = 15° ⇒ ∠C = ∠B - 15° ------(2)

By add

We know that,

∠A + ∠B + ∠C = 180°

⇒  30° + ∠B + ∠B + ∠B - 15° = 180°

⇒ 3 ∠B = 180°- 15° = 165°

⇒ ∠B = 55°

Hence, The measure of Angle B is 55°.

Answer 2

Answer:

Step-by-step explanation: