Two supplementry angles are in the ratio of 5:7 . find the measure of the angles

Let the the two given supplementary angles be A & B respectively. Ratio of angle A to the ratio of angle B is 5/7. And we've been asked to find out the measure of angle A & B.

As we know that supplementary angle are the ones which have the sum of angles and tend to 180°. Thus we can write by forming equation that,

Now as per the given ratio we can write,

Now by equation (2) we can write,

if x = 1, then the answer is 3.5