Question

I need to find the measure of angle L

Answer 1

Angel L = 52°

Explanation:

In ∆ JKL,

J = 8x + 6°

K = 2x + 2°

L = 4x+ 4°

L =?

Let's solve this question with the help of Angle Sum Property of a Triangle (ASPT).

We know that all angles in a triangle add up to 180°.

180 = ∆JKL

180 = J + K + L

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

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

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

180 = 14x + 12

14x = 180 - 12

14x = 168

x = 168/14

x = 12°.

Now, L° = 4x + 4

= 4(12) + 4

= 48 + 4

= 52°.