Setting the two expressions for the interior angles equal to each other:
(3x-7)(3x-7) = (x+15)(x+15)
Expanding the left side:
9x^2 - 42x + 49 = (x+15)(x+15)
Expanding the right side:
9x^2 - 42x + 49 = x^2 + 30x + 225
Simplifying and bringing all terms to one side:
8x^2 - 72x - 176 = 0
Dividing by 8:
x^2 - 9x - 22 = 0
Factoring:
(x - 11)(x + 2) = 0
Setting each factor equal to zero:
x - 11 = 0 or x + 2 = 0
x = 11 or x = -2
The possible values for x are 11 and -2.
The interior angle of point BB measures (3x−7)(3x−7) degrees and the interior angle of point DD measures (x+15)(x+15) degrees. What is the value of x? (1 point) Responses 11 11 22 22 43 43 26
1 answer