Question

find the value of x in the adjoining figure​

Answer 1

Answer :-

X = 28°

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Concept :-

As we know AOB is a line segment which means AOB = 180°. So we will form an equation and then we can easily find the value of X.

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Given :-

AOB is a line segment. [ Straight line angles make makes 180° ]

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To Find :-

The value of X.

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Step By Step Solution :-

$= > 3x - 10 + 2x + 10 + 40 = 180 \\ \\ = > 5x + 40 = 180 \\ \\ = > 5x = 180 - 40 \\ \\ = > 5x = 140 \\ \\ = > x = \cancel\dfrac{140}{5} \\ \\ = > x = 28$

Therefore X = 28°

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Verification :-

3x - 10 + 2x + 10 + 40 = 180°

By Putting the value of X = 28

L. H. S.

=> 3 × 28 - 10 + 2 × 28 + 10 + 40

=> 84 - 10 + 56 + 10 + 40

=> 84 - 10 + 106

=> 190 - 10

=> 180°

R. H. S.

=> 180°

Hence L. H. S. = R. H. S.

Hence Proved

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