Question

among two supplementary angles the measure of the larger angle is 44 degree more than the measure of the smaller find the measures​

Answer 1

let the smaller degree angle be x

so the larger one will be x+44

A/Q

x+x+44=180

2x+44=180

x=180-44/2

x=136/2

x=68

Answer 2

Answer:

68 and 112

Step-by-step explanation:

let the small angle be x

the larger angle x+44

x+44+x=180

2x+44=180

2x=180-44

2x=136

x=68

the small angle  x=68

the larger angle x+44=68+44=112

Answer 3

Let x be the bigger number

y be the smaller number

x+y=180 (since supplementary)...(1)

y+44=x (given)

Therefore, x-y=44............(2)

(1)+(2)

x+y=180

x-y= 44

2x+0=224

2x=224

x=224/2

Therefore., x=112...........(3)

Substitute (3) in (1)

x+y=180

112+y=180

y=180 - 112

Therefore, y=68

Therefore, bigger angle=112

And smaller angle = 68