Question

If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?

Answer 1

$\sf { \underline{SOLUTION}}$

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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Answer 2

Answer:

Step-by-step explanation:

Sum of adjacent angles of a parallelogram is 180 °

A + B = 180 °

70 ° + B = 180 °

B = 110 °