Question

Two complementary angles are in the ratio 3:7 find the supplementary angle of the bigger one

Answer 1

Step-by-step explanation:

If two angles are complementary then,

Let the ratios of them be 3x and 7x respectively,

ATQ,

3x + 7x = 90

10x = 90

x = 90/10

x = 9

So, 3x = 3*9 = 27

7x = 7*9 = 63

27° and 63° are the two complementary angles.

We know that,

63°› 27°

So, let the supplementary angle of 63 be x.

ATQ,

63 + x = 180

x = 180 - 63

x = 117

Hence, supplementary angle of 63° is 117°.

Answer 2

Answer:

The supplementary angle of the bigger angle = 117°

Step-by-step explanation:

Given,

Two complementary angles are in the ratio 3:7

To find,

The supplementary angle of the bigger angle

Recall the concepts

Two angles are said to be complementary if the sum of the angles is 90°.

Two angles are said to be supplementary if the sum of the angles is 180°

Solution:

Since the ratio of the two angles = 3:7, we have

The angles are 3x and 7x

Since the angles 3x and 7x are complementary we have

3x+7x = 90

10x = 90

x = 9

Hence, the angles are 3x, 7x = 3×9, 7×9 = 27, 63

The two angles are 27,63

The bigger angle is 63

Let 'x' be the supplementary angle of 63, then we have

x+63 = 180

x = 180 - 63

= 117

∴The supplementary angle of the bigger angle = 117°

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