If the measure of angle ABD is 112 degrees, determine the value of x.

(numbers on equation: (2x+5) degrees and (3x+7) degrees.)

1 answer

Since angles ABD and angle BDC are adjacent angles, the sum of their measures should be equal to 180 degrees.

Therefore, we can set up the following equation:

112 + (3x + 7) = 180

Solve for x:

3x + 7 = 180 - 112
3x + 7 = 68
3x = 61
x = 61 / 3
x = 20.33

Therefore, the value of x is approximately 20.33.