Question

among two supplementary angles, the measure of the larger angles is 30 more than measures of the smaller find their measures​

Answer 1

let one angle=x-------------------1️⃣

therefore next angle= x+30----------------- 2️⃣

now 1+2

x+x+30=180

2x=180-30

x=150/2

x=75

Answer 2

Answer:

X = 105, Y = 75

Step-by-step explanation:

let larger angle be X and smaller angle be Y

the sum of the two angles is 180

X + y = 180

now larger angle is 30 more than smaller angle then

X = Y + 30

put the value of x in 1st equation

X + Y = 180

(Y + 30) + Y = 180

2Y + 30 = 180

2Y = 180 - 30

2Y = 150

Y = 150/2

Y = 75

the smaller angle is 75 and the larger angle is. (X = 180-75)

X = 105