how would I do this problem?find angle C, and then side c when Angle's A=26.3,B=94.5 and side a= 9.2

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The first thing to find Angle C is 180 (how many degrees in a triangle) - angle A - angle B which will get you angle C (59.2) - the next step is finding side c. The law of sines is  Sin(angleA) / Side A = Sin(AngleB)/ Side B = Sin(AngleC)/Side C ~ when doing these problems it helps to draw out the triangle so just fill in the equations you know that Angle A = 26.3, and side a =9.2 ~ we also know that Angle C is 59.2 but we don't know side c so plug it in and find side c is.  Sin(26.3)/9.2 = Sin(59.2)/c ~ Now you want to cross multiply and divide Sin(26.3) x c = Sin(59.2) x 9.2 --> c = (Sin(59.2) x 9.2) / Sin(26.3) = 17.84