Question

The vertex angle of an isosceles triangle measures 42 degree. A base angle in the triangle has a measure given by (2x + 3). What is the value of x? What is the measure of each base angle?

Answer 1

Each base angle would measure 69 degrees. The value of x would be 33.

Explanation:

In order to find the value of a base angle in an isosceles triangle, we subtract the vertex angle from 180 and then divide by 2.

180 - 42 = 138

138/2 = 69 degrees

Now to find the value of x, we set 69 equal to the measure.

2x + 3 = 69

2x = 66

x = 33