Math, asked by vikasshakya806, 1 year ago

Two opposite angles of a parallelogram are (5x + 1) and (57 - 3x) measures of these opposite angles solution

Answers

Answered by BlackVenom05
6
We know,

Opposite ∠s of a parallelogram are equal.

∴ ( 5x + 1 ) = ( 57 - 3x )

⇒ 5x + 1 = 57 - 3x

⇒ 5x + 3x = 57 - 1

⇒ 8x = 56

⇒ x = 56 / 8

⇒ x = 7

As, both the ∠s of the parallelogram are x°

Required ∠ = 5x + 1 = 5(7) + 1
= 35 + 1 = 36°

Hence, both the ∠ measure 36°.

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