Question

In figure, $BEST$ is a parallelogram. Find the values of $x,y,z$.

Answer 1

In parallelogram the adjacent angles are supplementary

$\angle TBE+y={180}^{\circ }$

$110+y={180}^{\circ }$

$y={70}^{\circ }$

Also, opposite angles of a parallelogram are equal.

$z=\angle TSE={110}^{\circ }$

$y=x={70}^{\circ }$