Question

Two adjacent angles of a parallelogram are in the ratio $1:5$. Then all the angles of the parallelogram are

• A. $30°,150°,30°,150°$
• B. $85°,95°,85°,95°$
• C. $45°,135°,45°,135°$
• D. $30°,180°,30°,180°$

Answer 1

The correct option is A

$30°,150°,30°,150°$

We know that,

sum of adjacent angles of a parallelogram $=180°$

Let us assume two angles be $x$ and $5x$

Then,

$$\begin{gathered} x+5x=180° \\ 6x=180° \\ x=\frac{180°}{6} \\ x=30° \end{gathered}$$

Therefore, the two angles are $x=30°$

$5x=5\times 30=150°$

Hence, option (A) is correct.