Question

in an isosceles triangle the vertex angle is thrice of either base angle. find the measure of angles of the triangle.

Answer 1

Base angle = x
Vertex angle = 3x

x + x + 3x = 180°
5x = 180°
x = 36°

The angles of triangle are 36°, 36°, and 108°.

Answer 2

Answer:

Measure of the angles of the triangle will be 36°, 36° and 108°.

Step-by-step explanation:

In the figure attached triangle shown is an isosceles triangle having vertex angle = y°

Let the base angles of the triangle are x° each (Base angles are equal in isosceles triangle)

We know, sum of all angles of triangle = 180°

x° + x° + y° = 180°

2x + y = 180 ------(1)

Since vertex angle is thrice of either base angles.

Therefore, y = 3x -----(2)

By plugging in the value of y in the equation (1) from equation (2)

2x + 3x = 180

5x = 180

x = 36°

and y = 3x = 108°

Therefore, measure of the angles are 36°, 36° and 108°.

Learn more to solve the problems on properties of isosceles triangle from https://brainly.in/question/2077605