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In the diagram blow, find the measure of angle BCE

In the diagram blow, find the measure of angle BCE-example-1
User Little Ball
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1 Answer

18 votes
18 votes

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

m

User Clayton Hughes
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