Question

I need help with number 10 please I’m so confused on how to do it!

Answer 1

Given:

A figure.

`m \angle C D A=9 x+3` and
`m \angle E D A=6 x+5`

To find:

What kind of figure and the value of x

Solution:

All four sides are congruent.

Diagonals bisect each other.

There the given figure is rhombus.

Diagonals bisect the angles.

⇒
`m \angle C D A=m \angle E D A`

`9 x+3=6x+5`

Subtract 3 on both sides.

`9 x+3-3=6x+5-3`

`9 x=6x+2`

Subtract 6x from both sides.

`9 x-6x=6x+2-6x`

`3x=2`

Divide by 3 on both sides.

`$(3x)/(3) =(2)/(3) $`

`$x=(2)/(3) $`

The value of x is
`(2)/(3)`.