Question

if line n bisects CE find CD

Answer 1

Answer:

$CD=15$

Step-by-step explanation:

We have been given a diagram. We are asked to find the measure of segment CD.

Since line n bisects line segment CE, so measure of segment CD will be equal to measure of segment DE.

$DE=CD$

$4x-21=x+6$

$4x-21+21=x+6+21$

$4x=x+27$

$4x-x=x-x+27$

$3x=27$

$\frac{3x}{3}=\frac{27}{3}$

$x=9$

$CD=x+6$

$CD=9+6$

$CD=15$

Therefore, the length of segment CD is 15 units.

Answer 2

The measure of CD if line n bisects CE is 15degrees

The line that bisects an angle divides it into two equal parts.

if line n bisects CE find CD, hence:

x+ 6 = 4x - 21

Collect the like term

x - 4x = -21- 6

-3x = -27

Divide both sides by -3

-3x/-3 = -27/-3

x = 9

Get CD:

CD = x + 6

CD = 9 + 6

CD = 15 degrees

Hence the measure of CD is 15degrees

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