if one angle of a parallelogram is 40° find the measure of the other angles.
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Answer:
The three angles you are 40° , 140° and 140°
Step-by-step explanation:
∠A = 40°
By geometric properties, opposite angles are equal in a parallelogram. So, the angle opposite to 40° is also 40°.
We know in a parallelogram adjacent angles are supplementary
∴ ∠A + ∠B = 180°
∠B = 180° - 40°
∠B = 140°
By geometric properties, opposite angles are equal in a parallelogram and adjacent angles are supplementary. So, the angle opposite to 140° is also 140°.
So the three angles are 40° , 140° and 140° .
If it is beneficial for you, then mark it as 'Brainliest answer' .
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