Question

I am willing to do the work, I simply want some additional help.
What is triangle DEC?
Possible answers:
37 degrees
61 degrees
82 degrees
98 degrees

Answer 1

I'm going to be honest. I am having a hard time understanding the problem, but I am more than willing to work!

Answer 2

You can find the angle of DCE. How do you think you can?

Answer 3

By a theorem? More specifically the triangle sum theorem?

Answer 4

Well, the sum of all angles in a triangle is 180. EDC + DCE + DEC = 180.

But, you are only given angle EDC of that triangle.

Look again, you are given another angle. How are you able to find angle DCE using it?

Answer 5

Exterior Angle Theorem...

Answer 6

What is a line's angle? More specifically, the angle of line ECB.

Answer 7

90 degrees?

Answer 8

@cpinder You can use Exterior Angle Theorem.

Answer 9

BUT, I think it best that he learn how to identify angles just by looking at the other angles, without a theorem.

Answer 10

The angle of a straight line is always 180.

@ShadowLegendX I haven't looked at geometry theorem's since 10th grade so I'm just using simple math.

Answer 11

Of course, of course. I don't know why I put 90 degrees. I apologize.

Answer 12

Exterior Angle Theorem: The measure of the exterior angle is always equal to the sum of the two remote interior angles.