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.

$\frac{3x}{3} =\frac{2}{3}$

$x=\frac{2}{3}$

The value of x is $\frac{2}{3}$.