Answer:
m∠1 = 147°
Explanation:
(5x-2)° and ∠1 are supplementary to each other, which means they add up to 180°. However, we don't know the measure of ∠1. So, we need to solve for x to figure out angle (5x-2)°'s measure. Therefore:
(8x+1)°+(5x-2)°+90°=180°
8x+1+5x-2+90=180
13x+89=180
13x=91
x=7
This means the measure of angle (5x-2)° is 33°, making the measure of ∠1 equal to 147°.