Respuesta :
Answer: B) 114
Explanation:
The adjacent angles of a parallelogram always add to 180
D+E = 180
(9x+15)+(6x) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
Then we use this to find angle D
D = 9x+15 = 9*11+15 = 99+15 = 114
note that
E = 6x = 6*11 = 66
and
D+E = 114+66 = 180
to help confirm our answer.
Answer:
114
Angles in Quadrilateral adds to 360
2 x (9x+15) + 2 x (6x) = 360
18x + 30 +12x =360
30x + 30 = 360
-30
30x =330
÷30
x=11
Substitute value of x into Angle D
9x+15 will be 9 x 11 + 15 = 114
Thus, the answer is 114
Hope this helps!