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Olin [163]
3 years ago
5

PLEASE HELP! I HAVE A TIME CRUNCH! WIL MARK BRAINLIEST! THANKS & LOVE Y'ALL!!

Mathematics
1 answer:
katrin [286]3 years ago
5 0

<u>Given</u><u>:</u>

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

<u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u>

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

<u>Solution</u><u>:</u>

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 ]

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