Question

if the difference between two complementary angles is 10 degree then the angles are​

Answer 1

Answer

1. x = 50°
2. ( 90 - x ) = 40°

Given

• Difference between two complementary angles is 10 degree

To Find

• Angles

Solution

Complementary angles are , " x " , " ( 90 - x ) " .

A/c , " Difference between two complementary angles is 10 degree "

⇒ x - ( 90 - x ) = 10

⇒ x - 90 + x = 10

⇒ 2x - 90 = 10

⇒ 2x = 100

⇒ x = 50°

So , First angle , x = 50°

Other angle , 90 - x = 90 - 50 = 40°

Answer 2

Given :

• Difference between two complimentary angle is 10°.

To find :

• The angles.

According to the question,

• Complementary angle means 90°

→ x - ( 90 - x ) = 10

→ x - 90 + x = 10

→ 2x - 90 = 10

→ 2x = 10 + 90

→ 2x = 100

→ x =100 ÷ 2

.°. x = 50°

• First angle is 90°
• Other angle is 90 - x = 90 - 50 = 40°

__________________....

Verification :

→ x - ( 90 - x ) = 10

→ 50 - ( 90 - 50 ) = 10

→ 50 - 40 = 10

→ 10 = 10

.°. L.H.S = R.H.S

Hence,verified...