Question

Using square ABCD, calculate the measure of ZEDC, if mZECD = 45°. =

Answer 1

Answer:

45

Step-by-step explanation:

In square, the diagonals bisect each other at 90,

∠DEC = 90°

ED = EC

So, ΔECD is isosceles triangle.

Angles opposite to equal sides are equal.

∠EDC = ∠ECD = 45

Answer 2

Answer:

45°

Step-by-step explanation:

Two diagonals of a square intersect at right angle, I.e., 90°

BD and AC are two such diagonals of the square ABCD.

Since, they intersect at 90°:

∠DEC = 90°

We're given the value of ∠ECD and that is 45°

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Observing Triangle EDC:

Sum of all angles in a triangle = 180°

=> ∠DEC + ∠ECD + ∠EDC = 180°

=> 90 + 45 + ∠EDC = 180°

=> 135 + ∠EDC = 180

=> ∠EDC = 180 - 135

=> ∠EDC = 45

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Answer:

Hence, we know the value of ∠EDC and that is 45°