Question

Given parallelogram ABCD solve for x

Answer 1

The measures of two neighbouring angles of a parallelogram add up to 180°

Therefore:

`(30+5x)^o+(15+10x)^o=180^o\\\\45^o+(15x)^o=180^o\\\\(15x)^o=135^o\\\\15x=135\\\\\large\text{$\bold{x=9}$}`

Answer 2

Answer B is correct

Explanation:

In a parallelogram opposite sides are parallel to each other.

AB // CD

Therefore, Co interior angles are added up to 180°.

<BAD + <CDA = 180

That is,

30 + 5x + 15 + 10x = 180

And now, solve the expression and find the value of x.

First, combine like terms.

45 + 15x = 180

Subtract 45 from both sides.

15x = 180 - 45

15x = 135

Divide both sides by 15.

x = 9