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geniusboy [140]
4 years ago
15

Find angle 1 149 degrees 118 degrees 69 degrees 59 degrees

Mathematics
1 answer:
Mandarinka [93]4 years ago
7 0

∠A = 118°

<u>Step-by-step explanation:</u>

By using the property of parallelogram, diagonals bisect each other,

So ∠D = 31° + 31° = 62°

Another property of parallelogram says that,

consecutive angles are supplementary, that is ∠A and ∠D add up to 180 degrees.

Now we have the angle D as 62°, to find A, we can write as,

∠A + ∠D = 180°

∠A + 62° = 180°

It was rewritten to get ∠A as,

∠A = 180° - 62° = 118°

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