Question

Help help help please! Given the quadrilateral is a parallelogram, write an equation and solve it to find the value of x and y

Answer 1

The value of x is 27.5°

The value of y is 70°

Explanation:

In a parallelogram, the opposite angles are equal, therefore:

`4x=110`

solving for x:

`\begin{gathered} x=(110)/(4) \\ x=27.5\text{\degree} \end{gathered}`

The value of x is 27.5°

In the case of y, the sum of all the sides is 360 °, therefore

`\begin{gathered} 360=y+110+110+y \\ \text{solving for y} \\ 2y=360-110-100 \\ y=(140)/(2) \\ y=70\text{\degree} \end{gathered}`

The value of y is 70°