Question

Find the measure of an angle which is 30 degree more than its comeplement

Answer 1

Answer:

60°

Points to be noted:

• Complementary angle - Two angles are said to be complementary if their sum is 90° .

• Supplementary angle - Two angles are said to be supplementary if their sum is 180° .

Solution:

Let the required angle be x .

Then it's complementary angle will be (90° - x).

Now,

According to the question ,

The required angle is 30° more than its complement.

Thus,

=> x = (90° - x) + 30°

=> x + x = 90° + 30°

=> 2x = 120°

=> x = 120°/2

=> x = 60°

Thus,

The required angle is 60° .

Answer 2

Step-by-step explanation:

Let us assume that the angle is x.

Then,its complement will be 90-x.

30 degree more than one half of its complement, i.e 30+(90-x)/2

According to the sum,

x=30+(90-x)/2

x=60+90-x/2

x=150-x/2

2x=150-x

3x=150

x=50.

Hence the angle is 50.