PLEASE HELP solve the right triangle​

IK = 7

IJ = 12.124 (sorry the calculator doesn’t want to change to a fraction for this one)

m∠K = 60˚

Step-by-step 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 :)