Question

If angle a and angle b are supplementary, and angle a = (3x - 9)°, and angle b = (2x + 14)°, find x.

Answer 1

To find the value of x that makes angle a and angle b supplementary, we solve the equation 3x - 9 + 2x + 14 = 180. After combining like terms and solving for x, we find that x = 35.

Step-by-step explanation:

If angle a and angle b are supplementary, the sum of their measures is 180 degrees. Given that angle a equals (3x - 9)° and angle b equals (2x + 14)°, we can set up an equation to find the value of x:

3x - 9 + 2x + 14 = 180

Combine like terms:

5x + 5 = 180

Subtract 5 from both sides:

5x = 175

Divide both sides by 5:

x = 35

Thus, the value of x that makes angle a and angle b supplementary is 35.