Question

in an isosceles triangle one of the angles is twice the other two equal angles what are the angles of the triangle. what are the angles of the triangle.​

Answer 1

Answer:

Step-by-step explanation:

Let the two equal angles be as x

Third angle =2x

We know,

x + x +2x = 180°

=> 4x = 180°

=> x = 180°/4

=> x = 45°

Ist angle = 45°

2nd angle = 45°

3rd angle = 2x = 90°

Answer 2

✬ Measure of angles = 90°, 45° & 45° ✬

Step-by-step explanation:

Given:

• In an Isosceles triangle one angle is twice the other two angles.

To Find:

• What are the measure of all three angle of isosceles triangle ?

Solution: Let ABC be an Isosceles triangle where ∠B = ∠C = x° ( Since, two angle of an isosceles triangle are equal )

A/q Therefore, another angle is :-

➟ ∠A = Twice the equal angles

➟ ∠A = 2x°

As we know that the sum of all three angles of a triangle is equal to 180°.

$\implies{\rm }$ ∠A + ∠B + ∠C = 180°

$\implies{\rm }$ 2x + x + x = 180°

$\implies{\rm }$ 4x = 180°

$\implies{\rm }$ x = 180/4

$\implies{\rm }$ x = 45°

Hence, The measure of all three angles of triangle is

➼ ∠A = 2x = 2(45) = 90°.

➼ ∠B = x = 45°.

➼ ∠C = x = 45°.

_________________________

★ Verification ★

➱ ∠A + ∠B + ∠C = 180°

➱ 90° + 45° + 45° = 180°

➱ 180° = 180°

[ Verified ]