Question

the vertex angle of an isosceles triangle measures 42°. 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? x

Answer 1

x = 33

Explanation:

an isosceles triangle has 2 congruent base angles and a vertex

the sum of the 3 angles is 180°

sum the 3 angles and equate to 180

2x + 3 + 2x + 3 + 42 = 180

4x + 48 = 180 ( subtract 48 from both sides )

4x = 132 ( divide both sides by 4 )

x = 33