Question

Angle S and Angle T form a linear pair. if m(angle)s =5x + 9 and m(angle)T = 3x + 11, find the measures of both angles. (help I'm so confused :,))​

Answer 1

Answer: Therefore, angle S measures 109 degrees and angle T measures 71 degrees.

Step-by-step explanation: To find the measures of angles S and T, we can use the fact that they form a linear pair, which means they are adjacent and their sum is 180 degrees.

Let's set up an equation using the given information:

m(angle S) + m(angle T) = 180

Substituting the expressions for the measures of the angles:

(5x + 9) + (3x + 11) = 180

Now, let's solve for x:

5x + 9 + 3x + 11 = 180

8x + 20 = 180

8x = 160

x = 20

Now that we have the value of x, we can substitute it back into the expressions for the measures of angles S and T:

m(angle S) = 5x + 9 = 5(20) + 9 = 100 + 9 = 109 degrees

m(angle T) = 3x + 11 = 3(20) + 11 = 60 + 11 = 71 degrees

Therefore, angle S measures 109 degrees and angle T measures 71 degrees.