Answer:
IK = 7
IJ = 12.124 (sorry the calculator doesn’t want to change to a fraction for this one)
m∠K = 60˚
Explanation:
IK: Since you’re trying to find the opposite side of angle J, you’d use the sine trig. function (opp. over hypotenuse).
sin(30) = x/14
14sin(30) = x
x = 7
IJ: Since you’re trying to find the adjacent side of angle J, you’d use cosine (adj. over hyp.).
cos(30) = x/14
14cos(30) = x
x = 12.124...
m∠K: The sum of all three interior angles of a triangle equal 180˚. You already know that a right angle is 90˚, and you already have m∠J = 30˚.
Add:
90˚ + 30˚ = 120˚
Subtract from 180:
180˚ - 120˚ = 60˚
Hope this helped :)