Question

Find the values of x and y in the figure below. Enter the answers as numbers.

Answer 1

Answer:
`x=79^(\circ)\ and\ y=101^(\circ)`

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°

`\\\Rightarrow\ x+101^(\circ)=180^(\circ)\\\Rightarrow\ x=180^(\circ)-101^(\circ)\\\Rightarrow\ x=79^(\circ)`