In a triangle ABC, angle A- angle B=33degree and angle B- angle C=18 degree, then the measure of angle B is?

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Solution

A + B + C = 180
A - B = 33
B - C = 18

A = 33 + B
C = B - 18

33 + B + B + B - 18 = 180
3B = 165
B = 55

C = 55 - 18
C = 37

A = 33 + 55
A = 88

so the three measures are:
<A = 88 deg
<B = 55 deg
<C = 37 deg

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