From the calculations, a is 60 degrees while b is 90 degrees.
What are the angle a and b?
The point at which two lines are joined is what we refer to as an angle. We know that angles have a definite size. We have been given two figures and all the internal angles have been designated using algebraic terms and we are to find the value of the algebraic terms a and b.
For a;
a + 2a +2a + a = 360
6a = 360
a = 360/6
a = 60 degrees
For b
b + 3/2b + b + 45 + 2b - 90 + 90 = 540
Collecting the like terms;
b + b + 2b + 3/2b + 45 + 90 - 90 = 540
4b + 3/2b + 45 = 540
11b/2 + 45 = 540
11b/2 = 540 - 45
11b/2 = 495
11b = 2(495)
b = 2(495)/11
b = 90 degrees
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