Question

measures of opposite angles of parellelogram are 3×-2. and 50_×. find the measure of its each angle​

Answer 1

Answer:Given two opposite angles of a parallelogram are (3x − 2)º and (50 − x)º

Recall that opposite angles of a parallelogram are equal.

Hence (3x − 2) = (50 − x)

⇒ 3x + x = 50 + 2

⇒ 4x = 52

∴ x = 13

(3x − 2)º = [3(13) − 2]º = [39 − 2]º = 37º

Sum of adjacent angles is 180º

Hence other two equal opposite angles = 180º − 37º = 143°

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Answer 2

Step-by-step explanation:

Opposite angles of a □ are congruent.

Therefore, 3x - 2 = 50 - x

3x + x = 50 + 2

4x = 52

x = 52 / 4

Therefore, x = 13

Therefore , the angles of parallelogram are :

3x + 2 = 3 × 13 + 2

= 39 + 2

= 41°

AND 50 + x = 50 + 13

= 63°

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