Answer: 81.5°
Step-by-step explanation:
Complementary angles are angles whose measures add up to 90 degrees.
Since ∠1 and ∠2 are complementary angles, then:
m∠1 + m∠2 = 90
We are given that m∠1 = (x-19) and m∠2 = (3x-1). Let's substitute these values into the equation above:
(x-19) + (3x-1) = 90
Solve for x:
4x-20 = 110
4x = 110
x = 27.5
Plug the value of x to solve for m∠2:
m∠2 = 3x-1
m∠2 = 3(27.5)-1
m∠2 = 81.5
The measure of ∠2 is 81.5°.
