Question

two supplementary angles differ by 24.find the angles​

Answer 1

Answer:

78° , 102°

Step-by-step explanation:

Let x be one of the angles...... Then, the other angle will be x + 24

x + x + 24 = 180°

2x = 156

x = 78°

x+ 24 =102°

Answer 2

Answer:

the smaller angle =x

the bigger angle = x+24°

since the sum of two supplementry angles x+24°

x(x+24°) = 180°

2x+24° = 180°

2x=180-24=164°

x=164divided by 2

cancel

x=52

the smaller angle = x=52

the bigger angle = 52+24=76°