Question

Two supplementary angles are in the ratio 5:7. Find the
angles.

Answer 1

QUESTION

Two supplementary angles are in the ratio 5:7. Find the angles.

ANSWER

Let 1st angle = 5x

2nd angle = 7x

A. T. Q.

if angles are supplementary there fore there sum will be equal to 180°.

Therefore,

5x + 7x = 180°

12x = 180°

x = 180/12

x = 15

1st angle = 5×15

= 75°

2nd angle = 7×15

= 105 °

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Answer 2

Answer :-

• Angles are 75° and 105° respectively.

Given :-

• Two supplementary angles are in the ratio 5 : 7.

To Find :-

• Those angles.

Solution :-

Put x in the ratio

Now, angles are

• 5x
• 7x

As we know that

Sum of supplementary angles is 180°

According to question :-

5x + 7x = 180°

12x = 180°

x = 180°/12

x = 15

Hence

• 1st angle = 5x = 5 × 15 = 75°
• 2nd angle = 7x = 7 × 15 = 105°

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