Question

Q1. In a quadrilateral, angle A=63*, angle B=54* , angle C=136* and angle D=117* are these the measures of a trapezium.

Answer 1

$$\begin{gathered} \mathrm{As}\mathrm{we}\mathrm{know}\mathrm{that}\mathrm{in}\mathrm{a}\mathrm{trapezium}\mathrm{ABCD}, \\ \angle \mathrm{A}+\angle \mathrm{D}=180=\angle \mathrm{B}+\angle \mathrm{C} \\ \mathrm{Here}\mathrm{it}\mathrm{is}\mathrm{given}\mathrm{that}, \\ \angle \mathrm{A}=63\mathrm{degree},\angle \mathrm{D}=117\mathrm{degree},\angle \mathrm{C}=136\mathrm{degree},\angle \mathrm{B}=54\mathrm{degree} \\ \mathrm{So}\mathrm{putting}\mathrm{this}\mathrm{in}\mathrm{above}\mathrm{mentioned}\mathrm{we}\mathrm{get}, \\ \angle \mathrm{A}+\angle \mathrm{D}=63+117=180\mathrm{degree} \\ \mathrm{and}\angle \mathrm{B}+\angle \mathrm{C}=54+136=180\mathrm{degree} \\ \mathrm{hence}\mathrm{these}\mathrm{are}\mathrm{the}\mathrm{angles}\mathrm{of}\mathrm{a}\mathrm{trapezium}. \end{gathered}$$