Question

in the adjoining figure what is value of x will make AOB a straight line ​

Answer 1

Answer:

So the vale of x which make AOB a straight line is 28

Hope it will help you.

Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The required value of x = 28°

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$\sf{\underline{\green{Find:-}}}$

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• The required value of x = ?

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$\sf{\underline{\green{Explanation:-}}}$

$\sf{\underline\purple{We\: know\:that:-}}$

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

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• ∠BOC + ∠AOC = 180°

$\sf\underline{\purple{\:\:\: By\: substituting\:the\:value\:we\:get:- \:\:\:}}$

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$\longrightarrow \sf {(4x - 36)\degree + (3x + 20)\degree = 180\degree}$

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$\longrightarrow \sf {4x - 36\degree + 3x + 20\degree = 180\degree}$

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$\sf\underline{\purple{\:\:\: On \:further \:calculation\: we\: get:-\:\:\:}}$

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$\longrightarrow \sf {7x = 180\degree - 20\degree + 36\degree}$

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$\longrightarrow \sf {7x = 196\degree}$

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$\sf\underline{\purple{\:\:\: By\: division\:we\:get:-\:\:\:}}$

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$\longrightarrow \sf {x = \cancel\dfrac{196}{7} }$

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$\longrightarrow{\gray{ \underbrace{\boxed{\underline{\underline{\pink{ \tt x = 28\degree }}}}}}}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

• The required value of x is 28°.

$\rule{200}{2}$