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

Question

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

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1 month 2021-08-12T16:17:28+00:00 2 Answers 0 views 0

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°

2. ### Given:

• Difference between two complimentary angle is 10°.

### Tofind:

• The angles.

### Accordingto 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...