Question

Angle A and Angle B are supplementary angles. If the measure of angle A = (6x + 10)° and the measure of angle B = (4x +30), then find the measure of angle B.

Answer 1

86°

Explanation:

Given:

A = (6x + 10)°

B = (4x +30)°

Two angles are supplementary if they sum up to 180° ;

A + B = 180°

Now insert the parameters and solve;

6x + 10 + 4x +30 = 180

10x + 40 = 180

10x = 140

x = 14

So;

B = (4x +30)° = 4(14) + 30 = 86°