Question

The sum of the degree measures of any triangle is 180. In a particular isosceles triangle the degree measure of the vertex angle is 112. Find the measure of each base angle

Answer 1

34

Explanation:

Each of the base angles = x

x + x + 112 = 180 Subtract 112 from both sides. Simplify the left side.

2x + 112 - 112 = 180 - 112 Simplify

2x = 68 Divide by 2

2x/2 = 68/2 Simplify

x = 34

Each of the base angles = 34 degrees.