Question

Suppose that you know that angle T and angle C are supplementary and that M angle T = 3(m angle s) How can you find M angle T?

A) M angle T = 30 degrees
B) M angle T = 60 degrees
C) M angle T = 90 degrees
D) M angle T = 180 degrees

Answer 1

To find the measure of angle T, we can use the fact that angle T and angle C are supplementary and that M angle T = 3(m angle s). We can set up the equation 3x + x = 180, where x is the measure of angle S. Solving this equation will give us the measure of angle T, which is 135 degrees.

Step-by-step explanation:

To find the measure of angle T, we can use the fact that angle T and angle C are supplementary. Supplementary angles add up to 180 degrees.

Also, we are given that the measure of angle T is 3 times the measure of angle S. Let's call the measure of angle S as x degrees. Then, the measure of angle T would be 3x degrees.

Since angle T and angle C are supplementary, we can set up the equation: 3x + x = 180. Solving this equation will give us the measure of angle T.

3x + x = 180
4x = 180
x = 45

Therefore, the measure of angle T is 3 times the measure of angle S, which is 3(45) = 135 degrees. So, the correct answer is M angle T = 135 degrees.