Answer: 
Step-by-step explanation:
Given
Inside radius of figure 
Outside radius of figure 
Area of outside region is 
Area of inside region 
Area of shaded region 
Probability that point lies inside the shaded region is

Let x be the degree of angle a.
Angle b: 20+3x
Angle c: 55+x
We know that all angles add up to 180 degrees.
180=x+(20+3x)+(55+x)
180= 5x+75
180-75=5x
105/5=x
21=x
Angle a: 21 degrees
Angle b: 20+3(21) => 83 degrees
Angle c: 21+55 => 76 degrees
Hope I helped :)
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