In quadrilateral KLMN, angle K = (2x) deg, angle L = (x + 25) deg, angle M = (2x - 30) deg and angle N = (x + 5) deg. Find the measure of angle L.

Question

Accepted Answer

85°. Sum: 2x + (x+25) + (2x-30) + (x+5) = 360, so 6x + 0 = 360, x = 60. angle L = x + 25 = 60 + 25 = 85°. (Check: 120 + 85 + 90 + 65 = 360.)

In quadrilateral KLMN, angle $K = (2 x)$ deg, angle $L = (x + 25)$ deg, angle $M = (2 x - 30)$ deg and angle $N = (x + 5)$ deg.
Find the measure of angle $L$ .