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Answer :

Answer:

51°

Step-by-step explanation:

First, to find ∠BCA, you need to keep in consideration that the sum of angles in any triangle is 180°. Therefore, the measure of ∠BCA is 180 - 85 - 56 which is 39°. Then, to find the measure of ∠BCE, you need to do 180 - 90 - 39 (because a straight line has a measure of 180° and a "right" angle has a measure of 90°). That will result in 51°.

Hope this helps :)

Answer:

Step-by-step explanation:

The first step here is to find the 3rd angle inside the triangle.

SInce measure of all angles in a triangle is 180 degree,

mABC+mBCA+mCAB= 180

85+mBCA+56=180

mBCA=180-85-56=39 degree

Now, angles BCA, BCE and DCE are supplementary angles, their sum is equal to 180. So,

mBCA+mBCE+mDCE=180

39+mBCE+90=180

mBCE=180-90-39=51 degrees

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