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PLEASE HELP! I HAVE A TIME CRUNCH! WIL MARK BRAINLIEST! THANKS & LOVE Y'ALL!!
One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.

Respuesta :

Itzisabella

Given:

One of the angles of a parallelogram , ∠A = 40°

To find out:

Find the rest of the angles ( ∠B, ∠C, ∠D ) ?

Solution:

We know that,

∠A + ∠B = 180° [ co - interior angles]

⇒ 40° + ∠B = 180°

⇒ ∠B = 180° - 40°

⇒ ∠B = 140°

∠B = ∠D = 140° [ Opposite angles of a parallelogram ]

Also, ∠A = ∠C = 40° [ Opposite angles of a parallelogram ]