1. The measure of one angle of a parallelogram is 80°. What are the measures of
the remaining angles ?
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Answer:
80+x = 180
x = 180-80
x =100 degree
so the measure of remaining angle is 100degree
Answered by
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Let ABCD be the parallelogram in which
angle A = 80°
In a parallelogram opposite angles are equal so
angle C = 80° , as angleC is the opposite angle of angleA.
angleA + angleD = 180° (co-interior angles)
80° + angleD = 180°
angleD = 180° - 80°
angleD = 100°
As angleD and angleB are opposite of one another, angleB = 100°.
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