Question

find the value of x in the following figure.​

Answer 1

Question:-

Find the value of x, in the figure pinned in the attachment.

Solution:-

angle AOB = angle AOD (vertically opp. angles)

Therefore,

=> ( 2 + 3x )° = 62°

=> 3x = 62° - 2°

=> x = (60/3)°

=> x = 20°

Therefore,

$\huge\rm{ \boxed{ x = 20°}}$

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Hence, shown.

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Extra information:-

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

A pair of vertically opposite angles are always equal to each other.

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Concept used = Lines and angles

Marks = 1 (or) 2 marks

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