Question

answer it please...
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Answer 1

Given :-

In the figure, ABCD is a parallelogram.

• ∠a = ( 3x - 50° )
• ∠c = ( x + 40° )

To Find :-

• What is the value of x.

Formula Used :-

♣️ Vertically opposite angles are equal

$\bigstar \: \color{magenta} \underline{\boxed{\bf∠a \: = \: ∠c}} \: \color{black} \bigstar$

Solution :-

Given :

• ∠a = (3x-50°)
• ∠c = (x+40°)

According to the question by using formula we get,

$\implies \: \sf∠a \: = \: ∠c \: \: \: \: \bigg(Vertically \: Opposite \: Angles \bigg)$

$\implies \: \sf \bigg(3x - 50 \degree \bigg) \: = \: \bigg(x + 40 \degree \bigg)$

$\implies \: \sf \bigg(3x - x \bigg) \: = \: \bigg( 40 \degree + 50 \degree \bigg)$

$\implies \: \sf \bigg(2x \bigg) \: = \: \bigg( 90 \degree \bigg)$

$\displaystyle\implies \: \sf x\: = \: \cancel \frac{ \: 90 \: }{ \: 2 \: }$

$\displaystyle\implies \: \sf x\: = \: \frac{ \: 45 \: }{ \: 1 \: }$

$\displaystyle\implies \: \bf \red{x\: = \: 45 \degree }$

∴ The value of x is 45° .

Hence, Option - (d) is correct .

$\:$

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