Answer:
Step-by-step explanation:
Recall, the sum of the angles in a triangle is 180 degrees. This means that
A + B + C = 180
From the information given,
A = 23
B = 12
Thus,
23 + 12 + C = 180
35 + C = 180
C = 180 - 35
C = 145
To find c, we would apply the law of Sines which is expressed as
a/SinA = b/SinB = c/SinC
where
A, B and C are angles in the triangle,
a, b and c are sides opposite the angles. Thus, we have
Given that a = 15, then
15/Sin23 = c/Sin145
By cross multiplying,