Question

Q/-Two angles of a quadrilateral are 116 and 84° and the remaining two angles are equal. what is the measure of each of the equal angles.

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Answer 1

Answer:

80°

Step-by-step explanation:

let the each equal angles be X.

therefore, 116°+84°+X+X = 360° ( angle sum property of quadrilateral)

or 200°+2x = 360°

or 2x = 360°-200°

or 2x = 160°

or X = 160°/2

or X = 80°

Answer 2

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Q/-Two angles of a quadrilateral are 116 and 84° and the remaining two angles are equal. what is the measure of each of the equal angles.

$\huge \bf \underline{ \underline{ \red{answ er : }}}$

$⇒116° +84° + x + x = 360° \\ \\ ⇒ \: 200° + 2x = 360° \\ \\ ⇒2x = 360° - 200° \\ \\ </p><p></p><p>⇒ 2x = 160° \: \\ \\ </p><p></p><p>⇒x = \frac{160°}{2} \\ \\ ⇒ x = 80°$

$It's \: given \: that \: two \: angles \: are \: equal \: so \\ measure \: of \: each \: angle \: will \: be \: 116° \: , \\ 84° ,\: 80° ,\: and \: \: 80° \: repectively. \\ \\Verefication : \\ 116° + \: 84° + \: 80° + \: 80° \:$

$As \: already \: said \: sum \: of \: the \: angles \: of \: \\ quadrilateral \: should \: measure \: 360°. \: \\ Hence, \: the \: measure \: of \: each \: angle \: is \: \\ correct.$

$\huge\mathfrak\red{hope\: \: \: it \: \: \: helps \: \: \: u \: \: }$