Question

The bas angle of an isosceles triangle is 24° more than the vertical angle . Find tye measure of each angle

Answer 1

let bricks angle be creating and base isosceles angles be x +24
sum of all angles of triangle is 180 degree then
x+24+x+24+x=180=>3x=180-48=>3x=132=> x=44
then all are 44,44,92

Answer 2

Given - Base Angle

Find - Measure of each angle

Solution - The measure of each angle is 44°, 68° and 68°.

Let the measure of vertical angle be x. So, the measure of base angle will be x + 24°. As the angle is an isosceles triangle, the two base angles will be the same.

Forming the mathematical expression to find the value of x.

x + x + 24 + x + 24 = 180

3x + 48 = 180

3x = 180 - 48

3x = 132

x = 44°

So, the vertical angle is 44°.

The base angle = 44 + 24

The base angle = 68°

Now, the measure of each angle is 44°, 68° and 68°.