What is the measure of angle DCU?
0 45°
O 90°
O 120°
0 135°

135 degrees

Step-by-step explanation:

Since ABCD is a square, and BC and BU are congruent, that means triangle BCU is a triangle with 2 45 degree angles and one 90 degree angle. Angle BCD is a right angle since all vertices of a square are 90 degrees, angle BCD + angle UBC = 90 + 45 = 135 degrees.

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