Question

3. Find a in the given figure.​

Answer 1

Explanation:

Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.

So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b

These four angles sum up to 360, so we have

`3b+b+3b+b =8b = 360 \iff b = (360)/(8) = 45`

And since a and b were the same, a is also 45 degrees.