Question

The measure of two supplementary angles are 3x -7° and 5x + 27° . Find both the angles​

Answer 1

Answer:

53 and 127

Step-by-step explanation:

supplementary angles sum up to be 180

so

3x-7+5x+27= 180

8x+20= 180

transposing 20 to LHS

8x= 180-20

8x= 160

transposing 8 to LHS

x= 160/8 = 20

so x= 20

3x-7 -----(i)

5x+27 ---------(ii)

putting in values of x in i and ii

3x-7= 3(20)-7= 60-7= 53

5x+27= 5(20)+27= 100+27 = 127

proof

53+127= 180