Question

if 10% of an angle is complementary of 40 degree find the angle​

Answer 1

Answer:

The angle is 500°

Step-by-step explanation:

Complementary of 40° is 50°.

Let the angle be x

Given,

10% of x = 50°

x = (50)(100) / 10

x = 500°

Answer 2

Step-by-step explanation:

Given :-

10% of an angle is complementary of 40°

To find :-

Find the angle ?

Solution :-

Let the angle be X°

10% of the angle = 10% of X°

=> 10% × X°

=> (10/100)×X°

=> (1/10) × X°

=> (1×X°)/10

=> X°/10

Now

We know that

The complementary angle of A° is (90-A)°

The complementary angle of 40°

= 90°-40°

= 50°

According to the given problem

10% of an angle is complementary of 40°

=> (X/10)° = 50°

=> X° = 50°×10°

=> X° = 500°

Therefore, X° = 500°

Answer:-

The required angle for the given problem is 500°

Check:-

The angle = 500°

10% of 500°

=> (10/100)×500°

=> 500°/10

=> 50°

=> 90°-40°

=> Complementary angle of 40°

Verified the given relations in the given problem.

Used formulae:-

→The sum of two angles is 90° ,they are called Complementary angles.

→The complementary angle of A° is (90-A)°