Question

Each of the two equal angles of an isosceles triangle is twice the third ange. Find the angles​

Answer 1

Answer:

Hope this helps

Step-by-step explanation:

let the triangle be x the the other two will be 2x,2x

sum of angles of a triangle= 180degree

2x+2x+x=180

5x=180

x=180/5

x=36 degree

So the third angle=36 degree

and the other two will be 72 degree

Answer 2

Answer:

The three angles of the isosceles triangle are 72°, 72° and 36°

Step-by-step explanation:

Given :

Each of the two equal angles of an isosceles triangle is twice the third angle.

To find :

the angles if the isosceles triangle

Solution :

Let the two equal angles be 'x' each and 'y' be the third angle.

We know,

Sum of the three angles of the triangle is equal to 180°

x + x + y = 180°

2x + y = 180° ––[1]

It is given that each of the two equal angles is twice the third angle.

x = 2y

Substitute x = 2y in equation [1],

2(2y) + y = 180°

4y + y = 180°

5y = 180°

y = 180°/5

y = 36°

Therefore, the third angle is 36°

Put y = 36°,

x = 2(36°)

x = 72°

The two equal angles are 72° each

Hence, the three angles of the isosceles triangle are 72°, 72° and 36°