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If the ratio between two complementary angles is 3:6, then find the angles.

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50° and 40°

30° and 60°

20° and 70°

60° and 50°

answer is B.

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Detailed Solution

Given that the ratio between two complementary angles is 3:6.
Let the angles be 3x and 6x.
Know that, an angle that adds up to 90° is known as the complementary angle.

3 x + 6 x = 90 ° ⇒ 9 x = 90 ° ⇒ x = 90 ° 9 °

⇒ x = 10 °

Calculating the angles.

3 x = 3 × 10 °

and

6 x = 6 × 10 °

Therefore, 30° and 60° are the required angles.
The required angles are 30° and 60°.
Therefore, option (2) is correct.

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