3. Find a in the given figure.

Answer:
Step-by-step 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
[tex]3b+b+3b+b =8b = 360 \iff b = \dfrac{360}{8} = 45[/tex]
And since a and b were the same, a is also 45 degrees.