Given triangle ABC with AB 5 and BC 332 The measure of ang

Given triangle ABC with AB = 5 and BC = 3*3/2. The measure of angle A is 30degrees. How many are there for the of angle C? 3 2 4 1 0 None of the above

Solution

AB=c=5 and BC=a=5sqrt3 /3

a/sinA=c/sinC

(5sqrt3 /3)/(sin30⁰)=5/sin(c)

(2*5sqrt3 /3)=5/sin(c)

(2/sqrt3)=1/sin(c)

c =pi/3, 2pi/3

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