Question

In the diagram blow, find the measure of angle BCE

Answer 1

We have the next

AB is perpendicular with AD

DE is perpendicular with DC

angle B= angle ECD

angle ACD= 56°

We need to remember that the sum of the interior angles of a triangle is 180° and a right triangle is equal to 90°

So we have the next equation for angle B

$m\angle B+56+90=180$

we isolate the angle B

$m\angle B=180-90-56=34$$m\angle B=34\text{\degree}$

then for the angle BCE it forms an angle of 180° with angle BCA and ECD, therefor angle BCE is

$m\angle BCE=180-56-34=90\degree$

ANSWER

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