Question

If two supplementry angles are in the ration 1:5.find the difference of the angle ?

Answer 1

Step-by-step explanation:

Let the two angles be x and 5x

The sum of complementary angles = 90°

x + 5x = 90°

6x =90

x=90/6

x = 15°

Ans. The two angles are 15° and 5 × 15 = 75°

Answer 2

Correct Question:

If two complementary angles are in the ratio 1:5 .Find the measures of the angles.

Solution:

Given:

⇒ Ratio = 1:5

To find:

⇒ Measures of the angles.

Let two supplementary angles be x and 5x.

And, we know that sum of supplementary angle be 180°.

So, x + 5x = 180°

⇒ 6x = 180°

⇒ x = 180°/6

⇒ x = 30°

So, angles are:

⇒ 30°

⇒ 30 × 5 = 150°

Extra Info:

What is supplementary angle?

• Two angles are said to be supplementary, if they add up to give 180°.
• For example, if one angle is 100°, then its supplementary angle will be 180° – 190° = 80°.