Question

firat who will ans i will give brailiest to him

Answer 1

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☞ Your Answer is Option A

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$\huge\sf\blue{Given}$

✭ There is a parallelogram given with some Angles

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$\huge\sf\gray{To \:Find}$

◈ $\sf\angle a \ ?$

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So now here before solving we should keep some things in mind,

◕ Opposite sides are parallel and equal in a parallelogram

◕ Corresponding Angles add up to 180°

◕ Opposite Angles are equal

So now here, $\sf \angle C \ and \angle D$ are corresponding Angles

➢ $\sf \angle D + \angle C = 180 ^{\circ}$

➢ $\sf \angle ADB + \angle Z + DCB = 180^{\circ}$

➢ $\sf 40^{\circ} + \angle Z + 112^{\circ} = 180^{\circ}$

➢ $\sf \angle Z = 180-152$

➢ $\sf\red{\angle Z = 28^{\circ}}$

So now we know that AB || DC and DB is the transversal

➝ $\sf \angle z = \angle x$

$\sf\bigg\lgroup\because Alternate \ Interior \ Angle\bigg\rgroup$

➝ $\sf\orange{\angle x = 28^{\circ}}$

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