Question

Given ABCD, solve for x.

Answer 1

Answer:

x=1

Step-by-step explanation:

Given is a picture of a parallelogram ABCD

As per properties of parallelograms opposite sides are parallel and equal.

Two opposite sides are given as 12.

But another pair is given in terms of x as 16+2x and 10+8x

Since opposite sides would be parallel we have

16+2x =10+8x

Simplify to get

6x =6

or x=1

Verify:

The top side = 16+2x =18

The bottom side 10+8x = 10+8 =18

Thus both are equal, thus verified

Answer 2

This shape is a parallelogram and the opposite  sides of a parallelogram

 are of equal length.


10 + 8x = 16 + 2x ⇔ 8x - 2x = 16 - 10 ⇔ 6x = 6 ⇔ x = 6:6 ⇔ x = 1