Question

The angles of a quadrilateral are in the ratio $2:6:7:3$. Find the measure of each angle.

Answer 1

Let's find the measure of each angle of the given parallelogram.

Let each angle be $2x,6x,7x$ and $3x.$

Sum of all interior angles of a parallelogram is $360°$.

i.e.,

$$\begin{gathered} 2x+6x+7x+3x=360° \\ 18x=360° \\ x=20° \end{gathered}$$

Now

$$\begin{gathered} 2x=2\times 20=40° \\ 6x=6\times 20=120° \\ 7x=7\times 20=140° \\ 3x=3\times 20=60° \end{gathered}$$

Therefore, the angles are $40°,60°,120°,140°$