Question

@mathstudent55 Question 2. Please help me find m 12 years ago

Answer 1

Please help @mathstudent55

Answer 2

Let's look at m<DEC first.

Answer 3

Look at the figure above. It's part of your figure.
Angles AED and DEC are called a linear pair.
A linear pair is a name given to two angles which are adjacent to each other, they share one common side, and the other sides are on a line.

Linear pair angles are supplementary. That means their measures add up to 180 degrees.
Since you know m<AED = 55, you can find m<DEC.

Answer 4

Once you know the measure of angle DEC, look at triangle DEC. It has a known angle of 32 degrees, angle DEC whose measure you now know, and one unknown angle, but all three angle measures add to 180. You can find the measure of angle ECD.

Answer 5

so...subtract 32, and 180?

Answer 6

@mathstudent55

Answer 7

Find x

Answer 8

First start with the linear pair of 55 and m<DEC
m<DEC + 55 = 180
What must m<DEC be?

Answer 9

125?

Answer 10

Correct.

Answer 11

Now for the second part, you have triangle DEC.
The sum of the measures of the angles of the triangle is 180.
You have one angle of measure 32.
You have one angle of measure 125.
Finally, you have one angle of unknown measure.
The sum of the measures is 180.

32 + 125 + m<ECD = 180

What is m<ECD?

Answer 12

23?

Answer 13

Correct.