Question

In the figure, the value of $ y$ is:

6y

• A. $30°$
• B. $15°$
• C. $20°$
• D. $22.5°$

Answer 1

The correct option is C

$20°$

Calculate the value of $y$

As we know, the angles lying on the same side of a straight line are supplementary.

i.e., the sum of the angles lying on the same side of a straight line is $180°$.

So, $\angle AOB+\angle BOC+\angle COD=180°$

$\Rightarrow$ $6y+y+2y=180°$

$\Rightarrow$ $9y=180°$

$\Rightarrow$ $y=\frac{180°}{9}$

$\Rightarrow$ $y=20°$

Hence, $y=20°$, so, option (C) is the correct option.