Answer:
71º is measure of angle A
19º is measure of angle B
Explanation:
complementary angles are angles that equal to 90º
so let's add the terms (from angles A & B) and set them equal to 90º
3x+2 + x-4 = 90
4x -2 = 90
add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms
4x = 92
divide both sides by 4
x=23
We're not done though, we must plug in our x value to Angle A terms and Angle B terms.
(3(23) + 2)º = measure of Angle A (solve for both of them)
(23-4)º = = measure of Angle B
3(23) + 2 =
3(23) = 69 (add the 2)
71º is measure of angle A
23-4 = 19º
19º is measure of angle B
double-check
71+19 = 90º
It works