Answer:
The answer is (c) ⇒ C = 81° , a = 9.1 , b = 12.1
Step-by-step explanation:
∵ m∠A = 40° , m∠B = 59
∴ m∠C = 180 - (40 + 59) = 81
∵ c = 14
By using sin rule
∵ [tex]\frac{14}{sin81}=\frac{a}{sin40}[/tex]
∴ [tex]a=\frac{14sin40}{sin81}=9.1[/tex]
∵ [tex]\frac{14}{sin81}=\frac{b}{sin59}[/tex]
∴ [tex]b=\frac{14sin59}{sin81}=12.1[/tex]
∴ m∠C = 81° , a = 9.1 , b = 12.1
