The measure of an angle which is 9 times its supplement is?

# The measure of an angle which is 9 times its supplement is?

1. A
156°
2. B
162°
3. C
130°
4. D
190°

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Let the required angle be x
The sum of the supplementary angles is 180°
So the complement of the angle is 180° - x
And from the information it is given that the measure of an angle is 9 times its complement
So we have

On opening the bracket, we get

Now we will take 9x to the left side and add it to the x

After this we will take 10 in the denominator of right, we will get

On division, we get

The measure of an angle which is 9 times its supplement is 162°
So, option 2 is correct.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)