Question

Complementary angle are in the ratio2:3find the angles​

Answer 1

• 36°

• 54°

Explanation:

Denote the angles as 2x and 3x. Since it is mentioned they are complementary, we understand that the sum of the angles is 90°.

• 2x + 3x = 90
• 5x = 90
• x = 18

The angles are :

1. 2x = 2(18) = 36°
2. 3x = 3(18) = 54°

Answer 2

Explanation:

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Ratio = 2 : 3

Now let the angle be 2x and 3x

• Complementary angle are 90°

Now....

2x + 3x = 90°

5x = 90°

x = 90° / 5

x = 18°

Now...

2x = 2 × 18° = 36°

3x = 3 × 18° = 54°

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