Answer: The remaining angle must be 90, side BC = 17, side AC = 39
Explanation:
To find the remaining angle of this triangle, you may do 180 - (24+66) = 90, since the sum of angles in any triangle must equal to 180.
To find the remaining sides, you may use the sine rule to find BC:
sin(Angle)/opposing side = sin(Angle)/opposing side
1) sin90/43 = sin24/x
2) 1/43 = 0.4067/x
3) x = 17.48
4) x ≈ 17
You may also use the sine rule to find side AC:
1) sin90/43 = sin66/x
2) 1/43 = 0.9135/x
3) x = 39.28
4) x ≈ 39
Hope this helps, brainliest would be appreciated :)