Question

∠A and ∠B are supplementary such that

m∠A
=2x-2 and m∠B=4x+2

Write an equation that can be used to find the value of x? Find the value of x and the measure of ∠A?


Equation ___________________



x = _______________________

Answer 1

The equation is;

(2x-2) + (4x + 2) = 180

x = 30

m∠A = 58

Explanation:

Mathematically, when two angles are supplementary, the values of both angles add up to be 180

From

what we have here;

(2x -2) + (4x + 2) = 180

2x -2 + 4x + 2 = 180

6x = 180

x = 180/6

x = 30

Recall;

The measure of angle A is as follows;

2x -2 = 2(30) - 2 = 60-2 = 58