Question

given the image, choose the correct reason for each statement of the proof.

1. statement 1:

m∠cde + m∠edf = 180
a. substitution property
b. angle addition postulate
c. division property of equality
d. simplify
e. subtraction property of equality

Explanation:

The Angle Addition Postulate states that if \(D\) is in the interior of \(\angle CDF\), then \(m\angle CDE + m\angle EDF=m\angle CDF\). In this case, \(\angle CDF\) is a straight - angle (\(m\angle CDF = 180^{\circ}\)), so \(m\angle CDE+m\angle EDF = 180\) is based on the Angle Addition Postulate.

Answer:

B. Angle Addition Postulate