what is the measure of each angle in the following isosceles triangle? The vertex angle is 30 degrees more than the sum of the base angles.

Question

Math help! 

Answer 1

Let x = the measure of each base angle

Let x + x + 30 = the measure of the vertex angle

2x + x + x + 30 = 180

4x = 150

x = 37.5° - measure of each base angle

x + x + 30 = 37.5 + 37.5 + 30 = 105° - measure of the vertex angle

Answer 2

v represents the measure of the vertex angle

180 - v represents the sum of the two base angles

v = 180 - v + 30

 

Can you solve for v?