Gujarat BoardEnglish MediumSTD 8MATHSUnderstanding Quadrilaterals1 Mark
Question
Find the value of x in the trapezium ABCD given below.
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Answer
In the trapezium $A B C D$, we have $A B \| C D$ Also, sum of interior angles $B$ and $C$ is $180^{\circ}$. $\therefore(x+20)^{\circ}+(x-30)^{\circ}=180^{\circ}$ $\Rightarrow \quad 2 x^{\circ}-10^{\circ}=180^{\circ}$ $\Rightarrow \quad 2 x^{\circ}=190^{\circ}$ $\Rightarrow \quad x^{\circ}=95^{\circ}$
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