Question

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

Explanation needed!​

Answer 1

$\huge \sf {\orange {\underline {\red{\underline{Answer :-}}}}}$

$\sf\large\pink{Given⟹}$

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

$\sf\large\blue{Solution⟹}$

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)

${\huge{\underline{\small{\mathbb{\pink{HOPE\:HELPS\:UH :)}}}}}}$

Answer 2

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${ \huge{ \underline{ \underline{ \frak{\red{required \: Answer:}}}}}}$

◇To Prove:

$\rm\angle\: B\:?$

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◇Given:

$\rm \angle \: A = 60 \degree$

$\rm \angle \: A \: and \: \angle \: B \: are \: adjacent \: angle$

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◇Solution:

$\rm \angle \: A \: = \angle \: C (opposite \: angle \: of \: parrlelogram)$

$\rm \angle \: B \: + \angle \: C = 180 \degree$

$\rm \angle \: B \: + 60 \degree = 180 \degree$

$\rm \angle \: B \: = 120 \degree$

$\rule{220}{3}$