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What is the measure of angle ABC in the figure below?
A: 15
B: 30
C: 45
D: 90
E: 15
F: Cannot be determined

What is the measure of angle ABC in the figure below A 15 B 30 C 45 D 90 E 15 F Cannot be determined class=

Respuesta :

The answer is D. Because angles BAD and BCD are shown to be right angles (90 degrees), quadrilateral ABCD is a square, which means all of it's angles are 90 degrees.
∠ADB = 180° - 90° - 45° = 45°
∠BDC = 45° (Alternate angles)
∠DBC = 180° - 90° - 45° = 45°

∠ABC = 45° + 45° = 90°
Answer is D.