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Question

Find the angle measure x in the following figures:
1810208_4d52ec1db9364fc7b6b8bb889a282f7b.png


Solution

From the given quadrilateral three angles are $$ 40^{\circ}, 100^{\circ} $$, and $$ 140^{\circ} $$ We have to find the value of $$ x $$, We know that the sum of four angles of a quadrilateral is equal to $$ 360^{\circ} $$.
$$\begin{array}{c}\text { So, } 40^{\circ}+100^{\circ}+140^{\circ}+\mathrm{x}=360^{\circ} \\280^{\circ}+\mathrm{x}=360^{\circ} \\\mathrm{x}=360^{\circ}-280^{\circ} \\\mathrm{x}=80^{\circ}\end{array}$$
Therefore, the value of $$ x $$ is $$ 80^{\circ} $$.

Mathematics

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