Question

-

8. Each of the two equal ang
angles of thetriangle
The two equal angles of a triangle is twice the third angle. Find​

Answer 1

Answer:

Given,

The two angles of a triangle are equal.

Let the two equal angles be x

Third angle is twice the equal angle

Let third angle be y

y=2x

Sum of all angles is 180°

x+x+y=180°

2x+2x=180°

4x=180°

x=45°

The equal angles are 45°

The third angle is 90°

Answer 2

Question:

Each of the two equal angles of a triangle is twice the third angle. Find the angles of the triangle.

Solution:

Let each equal angle (in degrees) = x

Let the third angle (in degrees) = y

According to question

x = 2y

We know,

x + x + y = 180° (Angle Sum Property)

Putting value of x

2y + 2y + y = 180°

5y = 180°

y = $\dfrac{180^{\circ}}{5}$

y = 36°

Value of x

x = 2y

x = 2(36°)

x = 72°

Therefore, the angles are 72°, 72° and 36°.