Question

Two adjacent angles of a parallelogram are in the ratio $1:2$. Find the measure of all the angles of the parallelogram.

Answer 1

Let's find the value of two adjacent angles of the given parallelogram.

Let the angles be $1x$and $2x$

In a parallellogram, two adjacent angles are supplementary.

So,

$$\begin{gathered} 1x+2x=180° \\ 3x=180° \\ x=60° \end{gathered}$$

So, the two angles are $1x=1\times 60=60°;2x=2\times 60=120°$

Since the opposites sides of parallelogram are equal, the other two sides are $60°and120°$

Hence, the angles are $60°,120°,60°,120°$.