(2x + 3)dgree (x - 6)dgree

Which two equations can be used to determine the measure of these two adjacent angles?

1 answer

To determine the measure of these two adjacent angles, we need to find the values of x.

Equation 1: (2x + 3) degrees
Equation 2: (x - 6) degrees

To solve for x, we can set Equation 1 equal to Equation 2:

2x + 3 = x - 6

To isolate x, we can subtract x from both sides and subtract 3 from both sides:

2x - x = -6 - 3
x = -9

With x = -9, we can substitute this value back into either Equation 1 or Equation 2 to find the measures of the two adjacent angles.

Using Equation 1:
(2(-9) + 3) degrees
(-18 + 3) degrees
= -15 degrees

Using Equation 2:
((-9) - 6) degrees
= -15 degrees

Thus, both angles measure -15 degrees.