In a parallelogram PQRS,angle P = 80° . Find the other three angles are .
Answers
Step-by-step explanation:
given , P = 80°
R = 80° ( opposite angels in a par alle log ram are equal)
and ,. since PQ || RS and PR is the transversal
P + Q = 180 ( co interior angles )
80 +Q = 180
Q = 180 - 80
Q = 100
and Q = S ( opposite angels in a paralellogram are equal )..
S = 100
Given : In a parallelogram PQRS, ∠P = 80° .
To Find : the other three angles
Solution:
Parallogram is A Quadrilateral with both pair of opposite sides Equal and parallel
Opposite angles of a parallelogram are Equal
Adjacent angles of Parallelogram are supplementary Hence adds up to 180°.
∠R = ∠P opposite angles
=> ∠R = 80°
∠P + ∠Q = ∠P + ∠S = 180° ( adjacent angles)
=> 80° + ∠Q = 80° + ∠S = 180°
=> ∠Q = ∠S = 180° - 80°
=> ∠Q = ∠S = 100°
∠Q = 100° , ∠R = 80° , ∠S = 100°
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