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