Jharne De and Ranjana Kumar Solutions for Chapter: Quadrilaterals, Exercise 5: Test Paper 1

The two angles of a quadrilateral are equal and other two are in the ratio $2:5$. Find each angle of the quadrilateral.

One of the adjacent angles of a parallelogram is half the other angle. Find all the angles of the parallelogram.

The two angles of a quadrilateral are $90°$ each, and the other two angles are such that one of them is twice the other. Find the angles.

The adjacent angles of a parallelogram are in the ratio $2:7$. Find the measure of each angle.

In the following figure, $PQRS$ is a parallelogram. Find the measures of $\angle SPR$ and $\angle PQR$.

The opposite angles of a parallelogram are $\left(4y+5\right)°$ and $\left(3y+15\right)°$. Find all the angles of the parallelogram.

In the following figure, $ABCD$ is a parallelogram with diagonal $AC$. If $DM$ and $BN$ are drawn perpendiculars to $AC$, then find the values of $x, y$ and $z$.

The adjacent angles of a trapezium $ABCD$, in which $AB\parallel CD$, are $2x+50$ and $2x-10$. Find the measures of the angles.