Question

If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 60°, then ∠B = ?
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Answer 1

$\sf\large\purple{Given⟹}$

ABCD is a parallelogram and $\tt ∠A=60°$

$\sf\large\green{Solution⟹}$

We know that opposites angles of a parallelogram are equal.

Therefore,

${\sf{\boxed{∠A=∠C=60°}}}$

${\sf {\underline{\boxed{Formula \to ∠A+∠B=180°}}}}$

$\sf\implies 60° +∠B=180°$

$\sf\implies ∠B=120°$

${\bold{\sf{\implies{\blue{ ∠B=∠D=120°}}}}}$ (opposite angles of parallelogram)

Answer 2

Answer:

Given⟹

ABCD is a parallelogram and ∠A=60°∠A=60°

Solution⟹

We know that opposites angles of a parallelogram are equal.

Therefore,

${\sf{\boxed{∠A=∠C=60°}}}$

${\sf {\underline{\boxed{Formula \to ∠A+∠B=180°}}}}$

$\sf\implies 60° +∠B=180°$

$\sf\implies ∠B=120°$

${\bold{\sf{\implies{\blue{ ∠B=∠D=120°}}}}}$