Question

If∠Aand∠Baretwoadjacentanglesofaparallelogram.If∠A=70°, then∠B=​

Answer 1

⚝ Correct question :-

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

⚝ Given :-

• ∠A and ∠B are two adjacent angles of a parallelogram.
• ∠A =70°

⚝ To Find :-

• ∠b ?

⚝ Solution :-

• The adjacent angles of a parallelogram are supplementary.

• Adjacent angles up to 180° that's why adjacent angles are supplementary angles.

Now, it is given that,

∠a + ∠b = 180°

70° + ∠b = 180°

∠b = 180° - 70°

∠b = 110°

Hence,

• ∠b is 110°

⚝ Check :-

We have,

• ∠a = 70°
• ∠b = 110°

• Put ∠b in given condition :

∠a + ∠b = 180°

→ 70° + 110° = 180°

→ 180° = 180°

Thus, both sides are equal / same.

Hence, Solution is checked !