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In the figure, what value of x will make AOB, a straight line?

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In the figure, what value of $x$ will make $A OB$ , a straight line?

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Asher Discussed

In the figure, what value of

x

will make

A OB

, a straight line?

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

We know that

A OB

will be straight line only if the adjacent angles form a linear pair

∠ BOC + ∠ A OC = 180^{o}

x + (4 x - 36)^{o} + (3 x + 20)^{o} = 180^{o}

\Rightarrow 4 x - 36^{o} + 3 x + 20^{o} = 180^{o}

\Rightarrow 7 x = 180^{o} - 20^{o} + 36^{o}

\Rightarrow 7 x = 196^{o}

\Rightarrow x = 28^{o}

Therefore the value of

x

28

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Question Text	In the figure, what value of $x$ will make $A OB$ , a straight line?
Answer Type	Text solution:1
Upvotes	150