Question

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Answer 1

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!

Answer 2

Answer: B) 114

Step-by-step 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.