Q9) If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ? *
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SOLUTION
GIVEN
∠A and ∠B are two adjacent angles of a parallelogram.
∠A = 70°
TO DETERMINE
The value of ∠B
CONCEPT TO BE IMPLEMENTED
Adjacent Angles in a parallelogram are always supplementary
EVALUATION
We are aware of the property that Adjacent Angles in a parallelogram are always supplementary
That is, sum of the adjacent angles in a parallelogram is 180°
Now it is given that
∠A = 70°
Since ∠A and ∠B are two adjacent angles of the parallelogram
∴ ∠B = ( 180° - 70°) = 110°
FINAL ANSWER
∠B = 110°
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