Given ABCD, solve for x?

Option D) 11 is the value of x.

Step-by-step explanation:

The given figure ABCD is a parallelogram.

To find the x value, solve the given angles based on the properties of parallelogram.

The two main properties of parallelogram based on their angles are :

In the given figure ABCD,

The angle B and angle D are opposite angles and has same measure.

Similarly, angle C and angle A are opposite angles and has same measure.

The angle A and angle B are consecutive angles that equals to 180 degree.

Similarly, angle C and angle D are consecutive angles that equals to 180°.

To Solve for x :

We already know that, both the angles A and B are consecutive angles.

Therefore, their sum is equal to 180 degree.

⇒ angle A + angle B = 180

⇒ (8x+30) + (4x+18) = 180

⇒ 12x + 48 = 180

⇒ 12x = 180 - 48

⇒ 12x = 132

Divide by 12 on both sides,

⇒ x = 132 ÷ 12

⇒ x = 11

∴ Option D) 11 is the value of x.

addition

step-by-step explanation: