Question

Two supplementary angles are in the ratio 7: 8. Find the measure of the angles.​

Answer 1

$\large{\underline{\bf{\green{Given:-}}}}$

✰ Ratio of two supplementary Angles is given = 7:8

$\large{\underline{\bf{\green{To\:Find:-}}}}$

✰ we need to find the measure of both the angles.

$\huge{\underline{\bf{\red{Solution:-}}}}$

$\bf{\red{sum\:of\:two\: supplementary\:angles\:is\:180\degree}}$

Let the two supplementary Angles be 7x and 8x.

Now,

$: \implies \sf7x+8x=180$

$: \implies \sf15x=180$

$: \implies \sf\:x=\frac{180}{15}$

$: \implies \sf\:x=\frac{{\cancel{180}}}{{\cancel{15}}}$

$: \implies \bf{\red{x=12}}$

So the two supplementary Angles are:-

7x = 7 ×12

$: \implies \bf84$

And

8x = 8× 12

$: \implies \bf96$

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Answer 2

Step-by-step explanation:

let's angle be x

that's 7x,8x

We know that supplementary angles have measure 180°

7x+8x=180°

15x=180

x=180/15

x=12

7×12=84°

8×12=96°