Question

question 7 of 10
if opposite angles of a quadrilateral are supplementary, is a parallelogram.
a. true
b. false

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite angles are equal.

Step2: Analyze supplementary - angle condition

If opposite angles of a quadrilateral are supplementary (sum to 180°), it is not a parallelogram. For example, in a rectangle (a special - case parallelogram), opposite angles are equal (90° each), not supplementary in the non - equal sense. In a general parallelogram, if ∠A and ∠C are opposite angles, ∠A=∠C, not ∠A + ∠C = 180° (except in the case of rectangles where each angle is 90°, but the general property of a parallelogram is equality of opposite angles, not supplementarity).

Answer:

B. False