Question

Image attached. This is geometry and I’m confused.

Answer 1

BCE = 90 degrees

Explanation:

We can find the measure of angle ABC because we already know the other two angles, ACB and A, and there are 180 degrees in a triangle. So, we can set up the equation 90 + 56 + B = 180. If we solve this, it comes out to B = 34 degrees. It's given that angle B and ECD are congruent, so ECD also equals 34.

Because line segment DCA is a straight line, angles ECD, BCE, and ACB will add up to 180 degrees, since they make up a straight angle. So, we can set up the equation 34 + 56 + BCE = 180, which solves out to BCE = 90 degrees, so BCE is equal to 90 degrees.

Answer 2

90 degrees

Explanation:

angle b is 180-90-56=34 degrees

that means angle c is also 34 degrees.

56+34=90, thus angle BCE is also 90 degrees