Question

In a right triangle ABC, CD is the angle bisector of the right angle C. Two lines DF and DE are parallel to the legs of the triangle. Prove that DFCE is a square.

find the following
m∠CED = 180° − m∠ _____ = ___ by reason ________
m∠CFD = 180° − m∠ _____ = ___ by reason ________

Answer 1

m∠CED = 180° − m∠DEB= 90 degrees, by reason corresponding angles of parallel lines are congruent
m∠CFD = 180° − m∠AFD = 90 degrees by reason corresponding angles of parallel lines are congruent