Question

two supplementry angles are in ratio of 7:8.find the measure of each angle

Answer 1

Step-by-step explanation:

let the common ratio be x

so,

let the 1st angle be 7x

let the 2nd angle be 8x

according to question

7x + 8x = 180. ( sum if 2 supplementry angle = 180 )

15x = 180

x = 180 / 15

x = 12

Hence,

1st angle of supplementrt angle = 7x = 7* 12 = 84

2nd angle of supplem angles = 8x = 8*12 = 96

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Answer 2

Answer:

86 degrees and 96 degrees

Step-by-step explanation:

Here is your answer

->  We  know that 2 supplementary angle's sum = 180

SO IF THEY ARE IN THE RATIO 7:8

Let each angle be x

So now we have 7x+8x=180

Now we have 7x+8x=15x

Now divide 15 on both sides

So, 15x/15=180/15

x=12

7*12= 84

8*12=96

VERIFICATION

84+96=180

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