The supplement of an angle measures 11 times its complement. Then the measure of the angle is:

(A) 9 degree
(B) 99 degree
(C) 81 degree
(D) 90 degree
(E) none of these

not just answer, please tell me how to do it

The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?

HELP ME PLZ!!!

thank you

To solve this problem, we need to understand the definitions of the terms and use them strategically to form an equation.

Let's start by defining the terms:
- The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees.
- The complement of an angle is the angle that, when added to the given angle, equals 90 degrees.

Let's assume that the measure of the given angle is "x" degrees.

According to the problem, "The supplement of an angle measures 11 times its complement," we can express the information in the form of an equation:

Supplement of the angle = 11 times its complement
180 - x = 11(90 - x)

Now, let's solve the equation:

180 - x = 11(90 - x)
180 - x = 990 - 11x

Let's simplify the equation:

- x + 11x = 990 - 180
10x = 810

Divide both sides of the equation by 10:

x = 81

Therefore, the measure of the angle is 81 degrees.

The correct answer is (C) 81 degrees.

Supplement Angle=180-Angle

Complement Angle=90-Angle

As per condition
Angle =180- 11(90-Angle)
10 Angle =990-180
Angle =810/10
Angle =81 degree