Answer: [tex]x=79^{\circ}\ and\ y=101^{\circ}[/tex]
Step-by-step explanation:
In the given picture, a parallelogram PQRS is given with angle 101°.
In a parallelogram opposite angles are equal.
Since, y is opposite to 101°.
Therefore y=101°
Also, the sum of the adjacent angles of a parallelogram is 180°
[tex]\\\Rightarrow\ x+101^{\circ}=180^{\circ}\\\Rightarrow\ x=180^{\circ}-101^{\circ}\\\Rightarrow\ x=79^{\circ}[/tex]
