Question

Two adjacent angles of a parallelogram are as 2:3.Find the measures of all the angles​

Answer 1

Answer:

Thus, the angles of the parallelogram are 72o, 108o, 72o, 108o.

Step-by-step explanation:

Let the adjacent angles of the parallelogram be 2x and 3x.

We know that sum of adjacent angles of a parallelogram is 180o.

⇒ 2x + 3x = 180o

⇒ 5x = 180o

⇒ x = 36o

Therefore, adjacent angles are 2 × 36o = 72o and 3 × 36o = 108o

We know that the opposite angles of a parallelogram are equal.

Thus, the angles of the parallelogram are 72o, 108o, 72o, 108o.

Answer 2

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