Question

find the value of x in the quadrilateral.​

Answer 1

Answer:

95

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Answer 2

Answer :-

• The value of angle x in the quadrilateral is 95°

Given :-

• The measure of three angles in the quadrilateral are 105° , 50° and 110° respectively

To Find :-

• The measure of angle x in the figure [ the fourth angle ]

Solution :-

As we know that,

The sum of measures of interior angles in any sort of quadrilateral equals to the measure of the 360 ° and here the interior angles are 105 , 50 , 110 and x degrees respectively

★ According to the condition,

$\longrightarrow \rm 105 + 50 + 110 + x = 360 \\ \\ \\ \longrightarrow \rm 155 + 110 + x = 360\\ \\ \\ \longrightarrow \rm 265 + x = 360 \\ \\ \\ \longrightarrow \rm x = 360 - 265 \\ \\ \\ {\red{\rm{ \longrightarrow{ x = 95 }}}}$

Verification :-

$:\implies \bf x + 105 + 110 + 50 = 360 \\ \\ \\ :\implies \bf 95 + 105 + 110 + 50 = 360 \\ \\ \\ :\implies \bf 95 + 105 + 160 = 360 \\ \\ \\ :\implies \bf 95 + 265 = 360 \\ \\ \\ :\implies \bf 360 = 360$

Therefore :-

• The measure of angle x is equal to 95°

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