Gujarat BoardEnglish MediumSTD 9MathsQuadrilaterals2 Marks
Question
Diagonals of a quadrilateral $ABCD$ bisect each other. If $\angle\text{A}=35^\circ$ determine $\angle\text{B}.$
✓
Answer
As the diagonals of a qudrillateral $ABCD$ bisect each other, so $ABCD$ is a parallelogram. New, $ABCD$ is a parallelogram $\therefore\ \angle\text{A}+\angle\text{B}=180^\circ$ [$\because$ abjacent angles of a parallelogram are supplementary] $\therefore\ 35^\circ+\angle\text{B}=180^\circ$ $\Rightarrow\ \angle\text{B}=180^\circ-35^\circ=145^\circ$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.