Verified Answer :

MissPhiladelphia

in a parallelogram, the adjacent
angles are supplementary angles. Which means that their sum of the adjacent
angle is equal to 180 degrees


A + B = 180


(9x + 15) + ( 3x -15) = 180


12x = 180


X = 180/12

X = 15

Answer:

The value of x is 15.

Step-by-step explanation:

As given

AD and BC are parallel .

Thus ABCD is a parallelogram.

Now by using the parallelogram property.

Consecutive angles are supplementary i.e ∠A + ∠B= 180°

As shown in the figure

∠A = (3x - 15 )°

∠B = (9x + 15 )°

Put in the above

3x - 15 + 9x + 15 = 180

12x = 180

\(x = \frac{180}{12}\)

x = 15

Therefore the value of x is 15.


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