Question

(c) problem 16:
(first taught in
lesson 52)
from this given statement, select the definition,
property, postulate, or theorem that justifies the
prove statement.
given: parallelogram
wghx
prove: \\( \angle g \cong \angle x \\) and
\\( \angle w \cong \angle h \\)

Explanation:

In a parallelogram, one of the fundamental properties is that opposite angles are congruent. For parallelogram \( WGHX \), \( \angle G \) and \( \angle X \) are opposite angles, and \( \angle W \) and \( \angle H \) are opposite angles. This property directly allows us to state that \( \angle G\cong\angle X \) and \( \angle W\cong\angle H \).

Answer:

The property of a parallelogram (specifically, the property that opposite angles of a parallelogram are congruent) justifies the prove statement.