Question

if ABCD is a square what is the measure of CDE​

Answer 1

Answer:

45

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

In triangle ABE

AE=BE=AB

Therefore it is an equilateral triangle.

Now, we know that in an equilateral triangle, all angles are of equal measure i.e. 60°

Now, Angle BAD =90°(square)

And, Angle BAE= 60° (proved above)

Therefore, Angle EAD = angle BAD - angle BAE = 90°-60°

=30°

Now in ∆ AED

Angle AED=90°(given)

Angle EAD=30°(proved above)

Therefore, Angle ADE=180°-(90°+30°)

=60°

Know Angle ADC=90°(square)

Angle ADE=60°(proved above)

Therefore Angle CDE=90°-60°=39°

HENCE YOUR ANSWER IS 30°

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