Math, asked by sarabutejaswini, 4 months ago

If two angels of a parallelogram are 105 degree and 75 degree , what will be the measures of the remaining two angles

Answers

Answered by dakshgoel87
2

Answer:

75 and 105

Step-by-step explanation:

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Answered by SikhaSardar
0

Answer:

So let’s set angle A as our given value.

angle A= 75 degrees

So therefore, angle C = 75 degrees because we know that opposite angles are congruent.

Then, we make an equation to find angle B.

Angle A + Angle B = 180 degrees

We know this because of the properties of a parallelogram.

So, plug and chug.

75 degrees + angle B = 180 degrees

(subtract 75 from both sides)

angle B = 105 degrees

And we also know that angle D = 105 degrees because opposite angles are congruent.

So, the measurements of the other angles are 75 degrees, 105 degrees and 105 degrees.

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