If two angels of a parallelogram are 105 degree and 75 degree , what will be the measures of the remaining two angles
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Answer:
75 and 105
Step-by-step explanation:
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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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