Question

the difference in the measures of two complementary angles is 12°. Find the measure of the angles​

Answer 1

Answer :

• 39 and 51 are the measures of the angles.

Given :

• The difference in the measures of two complementary angles is 120⁰

To find :

• Measure of the angles

Solution :

• Let the one angles be x

Given,

• The difference is in the measures of two complementary angles is 12⁰

• Bigger angle be (x + 12)

As we know that,

• Complementary angles = 90⁰

↬ x + x + 12 = 90

↬ 2x + 12 = 90

↬ 2x = 90 - 12

↬ 2x = 78

↬ x = 78/12

↬ x = 39

Finding the measure of the angles :

• Smaller angle = 39⁹

Biggest angle = x + 12

↬ x + 12

↬ 39 + 12

↬ 51 (Biggest angle)

Hence , 39 and 51 are the measures of the angles.

Answer 2

Here it is given that two angles are complementary.

This means that the sum of two angles will be 90°

Also, it is mentioned that the difference between two angles is 12°

This mean one angle will be 12 more than other angle

Let us assume one angle to be x

Then the other angle will be x + 12

So, x + x + 12 = 90

2x + 12 = 90

2x = 78

x = 39

Therefore, other angle = x + 12

= 51

Hence, the two angles will be 39° and 51°