Respuesta :

audreyn06

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°.

Otras preguntas