Question

▭ ABCD is a parallelogram. The ratio of ∠A and ∠B of this parallelogram is 5 : 4. Find the measure of ∠B. Solution: ▭ ABCD is a parallelogram.Ratio of ∠A to ∠B = 5 : 4Let the common multiple be ____ Measure of ∠A = _____ Measureof ∠B = _____ m∠A + m∠B = 180°(Adjacent angles of a parallelogram) ∴ _____ + _____ = ______ ∴ ______ = 180° ∴ x = ______° ∴ Measure of ∠B = _____°​

Answer 1

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Answer 2

Step-by-step explanation:

Quadrilateral ABCD is a parallelogram. Let the measure of A and B be 5x and 4x, respectively. Thus, the measure of B is 80º.