Question

In a triangle ABC if angle A is 2 times of angle B and angle B is equal to angle C then find the measurement of all angles.

Answer 1

Hey

2 A = 3 B = 6 C

B = 2/3 A,
C = 2/6 A = 1/3 A

We know that
Sum of interior angles of a triangle are 180°

A + B + C =180

A + 2/3 A + 1/3 A = 180°

2 A = 180

A = 90°

Hope helped!

Answer 2

Given:

In a triangle ABC if angle A is 2 times of angle B and angle B is equal to angle C.

To Find:

Find the measurement of all angles.

Solution:

Here we have,

∠A = 2∠B          ⇒∠A/2 = ∠B

∠B = ∠C

We know that,

Sum of interior angles of a triangle is 180°

∠A + ∠B + ∠C = 180°

This can be written as

∠A + ∠A/2 +∠A/2 = 180°

2∠A = 180°

 ∠A = 90°

∠B = ∠A/2 = 90/2 = 45°

∠C = ∠B = 45°

Hence, measurement of angles A,B and C are 90°, 45° and 45° respectively.