Question

In an isosceles triangle, the equal agnes are one-fourth of the vertical angle. Find the measure of equal angle

Answer 1

Answer:

Let the measure of each equal angle be x degree.

we know that, sum of angles of a triangle = 180 degree

so vertical angle = (180 - 2x) degree

According to the question,

vertical angle = 4x degree

therefore

4x = 180 - 2x

4x + 2x = 180

6x = 180

x = 180 / 6

x = 30

Answer: Measure of each equal angle is 30 degree.