Question

In AJKL, mZJ = (8x + 6)", mZK = (2x + 2)°, and młL = (4x + 4)º. Find m_L.​

Answer 1

Explanation:

∠J + ∠K + ∠L = 180 {Angle sum property of triangle}

8x + 6 + 2x + 2 + 4x + 4 = 180

8x + 2x + 8x + 6 + 2 + 4 = 180

Combine like terms.

14x + 12 = 180

Subtract 12 form both sides

14x = 180 - 12

14x = 168

Divide both sides by 14

x = 168/14

x = 12

∠L = 4x + 4

= 4*12 + 4

= 48 + 4

∠L = 52