Q:

In triangle abc, the measure of angle a is fifteen less than twice the measure of angleb. the measure of angle c equals the sum of the measures of angle a and angle b, determine the measure of angle b

Accepted Solution

A:
Angle b is 35 because angle a is (2b-15) and angle c is (3b-15) and b is (b) and angles in a triangle add to 180 so (2b-15)+(3b-15)+(b)=180, so (6b-30)=180 / 6b= 210 so b is 35