among the two supplementary angles the measure of the larger angle is 50 degree more than the measure of the smaller angle. find their measures​

Let us take x and y asvthe supplementary angles.

Now,

(I am assuming that you know what supplementary angles mean.)

x + y = 180 ————(1)

Now, according to the question,

x - y = 50 ————(2)

Adding Equation (1) and (2), we get,

2x = 230

Therefore, x = 115

Putting this value x in eqn.2, we get

Y=65

Hence, the measure of two angles are

115° and 65°.

Hope it helps !

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