The measure of two supplementary angles are in the ratio 5:7 what is the measure of the larger angle

Two angles are supplementary. If the ratio of the measure of the smaller angle to that of the larger angle is 5:7, what is the measure of the smaller angle?

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Question 8 Revision Exercise

Answer:

Solution: Ratio between two supplementary angles are= 7:5

Sum of ratios = 7+5=12

But sum of supplementary angles= 180°

First angle= 180° x $\frac{7}{12}$ = 15° x 7=105°

and second angle = $\frac{180\times5}{12}$ = 15 x 15= 75°

Two supplementary angles are 105° and 75°

Video transcript

"Hello, welcome to lido today we're going to see a question that is to supplementary angles and the ratio seven is to find find the angles so they are in the ratio of survival. Where is to find we're going to find the tangle it's to it. So first we need to find out what is the supplementary angles when supplementary made? Hello, welcome to your new home at clay get going to see a question that is to supplementary angles and the ratio 7 is to find find the angles. So they are in the ratio of surveys to find. We're going to find the tangle. It's to it. So first we need to find out what is the supplement trying to spend supplementary means the addition of the triangle is going to be 180 degrees. Supplementary Addition of two angles is 180 degrees. So it is given that it is a ratio. So very strike two angles and ratios on it when you're going to find the angle so should take as 7x plus Phi x equal to 180. Okay, so then what to do next so on X by X is 2x squared to 180. So x equals to 180 by 2 L is 180 by 2 L and take it out and do the division partner of first or 80 divided by 12 kill one jar 12. People fighter 60 so it will be 15 x so x value equals 215. So now put this value x value in this each terms and find out the each angle. So 7 into X. This is the first angle X so server into 15. So answer will be. 105 and then the other angle is Fi L 2X. Clean 215 Pfizer 75, so on the server 105 n 75 I hope you understand this video and thanks for watching this video. "

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Supplementary angles' measures sum to 180 degrees. If the ratio of two supplementary angles is 5 to 7, then the smaller one is 5/12 (because 5 + 7 = 12) of 180 and the larger is 7/12 of 180. Calculate 7/12 of 180. John

My calculator said it, I believe it, that settles it