Question

find the angles if two complementary are in the ratio 2:7​

Answer 1

Step-by-step explanation:

Answer:-

Concept:-

What are Complementary Angles?

• The angles which sum up to give 90° are called complementary angles.

Given:-

• In question we are given 2 ratios.
• So, we will take ratio constant as x.
• So, 2x and 7x are divided ratios.

$2x + 7x = {90}^{ \circ}$

$9x = {90}^{ \circ}$

$x = \dfrac{90}{9}$

$x = {10}^{\circ}$

$2x = {20}^{\circ}$

$7x = {70}^{\circ}$

Now, verification is simple!

$20 + 70 = {90}^{\circ}$

So, answer is correct and hence. verified

Keyword:-

Complementary angles.

• Supplementary angles are those who sum up to give 180°.
• So, keep an eye for keywords before attempting the question.

Answer 2

$\huge \bold \color{grey}{Question}$

• find the angles if two complementary are in the ratio 2:7

$\huge \bold \color{grey}{Solution}$

Ratio of two complementary angles is 2:7

Let x represent the constant of proportionality

2x + 7x = 90°

9x = 90°

x = 10°

Larger Angle is 70°

Verification

20° + 70° = 90°

Hence Verified ☑

☯MORE TO KNOW

✏Complementary Angles

• The pair of angles whose sum is 90° are known as complementary Angles.

• Each angle is complement of the other.

• For example, 30° is complement to 60° and vice versa.