Question

What is the measure of {CED and {ACD?

Answer 1

Answer:

Part a) $m$

Part b) $m$

Step-by-step explanation:

step 1

Find the measure of angle ACB

we know that

The sum of the measures of interior angle of a triangle must be equal to $180\°$

so

In the triangle ABC

$m$

$m$

$m$

step 2

Find the measure of angle ACD

we know that

$m$ -------> by supplementary angles

we have

$m$

substitute

$m$

$m$

step 3

Find the measure of angle CED

we know that

m<DCE=m<ACB ------> by vertical angles

so

$m$

Remember that

The sum of the measures of interior angle of a triangle must be equal to $180\°$

so

In the triangle CDE

$56\°+60\°+m$

$116\°+m$

$m$