Question

the supplementary angles whose ratio is 7:8 Find the angles​

Answer 1

Step-by-step explanation:

Let us consume angles be = X

The angles are given in Ratios so the angle will be:

1st angle will be = 7x

2nd angle will be = 8x

Now, Supplementary angles = 180°

Supplementary angle = Sum of Angles [Formula to find supplementary angle]

So, 180° = 7x + 8x [According to the formula of Supplementary angle]

180° = 15x

X = 180°/15

X = 60°/5

X = 12°

X = 12° (Answer)

[We got the value of X. So now, we will put the value of X in 1st angle and 2nd angle]

1st angle = 7 x 12 = 84°

2nd angle = 8 x 12 = 96°

Proof,

1st angle + 2nd angle = 180° [Supplementary angle formual]

84° + 96° = 180° [Proved]

It shows that our answer is correct.