To find the measure of angle J, we would apply the sine rule which is expressed as
a/sinA = b/sinB = c/SinC
where
A, B and C are the angles in the triangle
a, b and c are the length of the sides opposite each respective angle.
By applying this rule to the given triangle, we have
l = JK = 15
L = 102
j = KL = 12
J = ?
Thus, we have
15/Sin102 = 12/SinJ
By crossmultiplying, we have
15SinJ = 12Sin102
Dividing both sides by 15,
SinJ = 12Sin102/15
SinJ = 0.7825
We would find the sine inverse of 0.7825
J = Sin^-1(0.7825)
J = 51.5 degrees
