Question

among two supplementery angles the measure of the larger angle is 44 degree more than the measure of the smaller. find their measures i will mark brainiest

Answer 1

What are supplementary angles?

Angles having a sum of 180° are called supplementary angles.

Now, it is given that the measure of the larger angle is 44 degree more than the measure of the smaller.

Let us assume the smaller angle be x

Then the larger will be x + 44

So, x + x + 44 = 180

2x + 44 = 180

2x = 136

x = 68

So, x + 44 = 68 + 44

= 112

Hence, the two angles will be 68° and 112°

Answer 2

Answer:

let the smaller angle be x

then according to question larger angle will be (x+44)

again according to question we have

sum of both the angles =180 degree

therefore

x+x+44=180 degree

2x=(180-44) degree

x=136/2

x=68 degree

hence the smaller angle=68 degree

larger angle =68+44=112 degree