Question

of the angico
6. Two adjacent angles of a parallelogram have equal measure. Find the
measure of each of the angles of the parallelogram.
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Answer 1

Answer:

90°

Step-by-step explanation:

Let x be the measure of two adjacent angles A and B. We know that the adjacent angles of a parallelogram are supplementary.

∴ ∠P + ∠Q = 180°

or X + x = 180°

or 2x = 180°

or x = 90°

∴ ∠P = 90° and ∠Q = 90°

We know that the opposite angles are equal in a parallelogram

∴ ∠P = ∠Q = ∠R = ∠S = 90°

Hope it helps you mate..