Question

The three angles of a quadrilateral are 110° , 72°, 55°. Find the fourth
angle.

Answer 1

Answer:

hope it will help

Step-by-step explanation:

let, fourth angle be x

110+72+55+x = 360(being quadrilateral)

273+x=360

x=360-273

x=123

Answer 2

$\bf{\underline{\underline{Question}}}$

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$\small\tt{The\:three\: angles\: of\: a \:quadrilateral\:}\\{\small\tt{ are\: 110°, \:72°, \:55°\:Find\: the \:fourth.}}$

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$\bf{\underline{\underline{Solution}}}$

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$\small\tt{As\:we\:know\:}$

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$\small\tt{There\:are\:four\:sides\:of\: Quadrilateral}$

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$\small\tt{and,}$

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$\small\tt{The\:sum\:of\:all\:sides\:of\: angle\:of\:a}\\{\small\tt{Quadrilateral\:is\:=\:360°}}$

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$\small\tt{So\:according\:to\:question:-}$

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$\small\tt{110°\: +\: 72°\: + \:55°\: + \:x°\: = \:360°}$

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$\small\tt{237°\: +\: x\:= \:360°}$

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$\small\tt{x\:= \:360°\: -\:237°}$

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$\small\tt{x\:= \:123°}$

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$\small\tt{Hence}$

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$\small\tt{The\:value\:of\:fourth\:angle\:is\:123°}$

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$\bf{\underline{\underline{Thanks}}}$