Two angles are supplementary. One has a measure that is five times as large as the other. Find the two angle measures.

Respuesta :

Answer:

30° and 150°

Step-by-step explanation:

supplementary means that the sum of the measures = 180

let's say 1 angle is labled ∠A and the other ∠B

m∠A + m∠B = 180°

however, m∠A = 5 * m∠B

so, by substituting that:

5*m∠B + m∠B = 180°

6*m∠B = 180°

m∠B = 30°

m∠A = 150°