Question

# Find the angle measure x in the following figures:

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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