Question

in triangle abc angle A minus Angle B = 30 degree angle B minus angles c equal to 15 degree find the measure of Angle B

Answer 1

Let angle B be x.

Angle A - Angle B = 30°

Angle A = 30° + x

Angle B - Angle C = 15°

Angle C = x - 15°

Angle A + Angle B + Angle C = 180° ( Angle sum property of a triangle)

=> (30° + x) + (x) + ( x -15) = 180°

=> 3x + 15° = 180°

=> 3x = 165°

=> x =165° / 3

=> x = 55°

Angle B = x = 55°

Ans. = The measure of angle B is 55°.

Hope it helps!!!

Answer 2

Answer:

The measure of Angle B is 55°.

Step-by-step explanation:

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°.