Question

If the supplementary angle of an angle x is 5 times the angle, then find the complementary angle of that x angle?

and options are

1] 45°

2] 30°

3] 50°

4] 60°


please answer correctly ​

Answer 1

Solution:

For an angle x,

(i) Complementary angle of x° = (90° - x)

(ii) Supplementary angle of x° = (180°- x)

(iii) Supplementary angle = 3 (complementary angle)

180°- x = 3(90°- x)

> 180° - x = 270°- 3x

> x + 3x = 270°- 180°

> 2x = 90°

x = \frac{90}{2}

> x = 45°

Answer 2

Concept:

The concept of supplementary angles is the set of angles whose sum is 180 degrees.

Given:

An angle x's supplemental angle is five times that angle.

Find:

We are asked to find the complementary angle of that x angle.

Solution:

We have,

If one angle is x,

Then another supplementary angle = 180° - x

So,

According to the question,

( 180° - x) = 5x

Solving,

180° = 6x

⇒

x = 30°

So

Now,

Complementary angles are those whose sum is 90°,

So,

Complementary angle of x = 90 - 30 =60°

Hence, the complementary angle of that x angle is 60°, i.e. option 4.

#SPJ3