Question

What is m∠L?Enter your answer in the box.

Answer 1

The measure of angle L is 54 degrees

Answer 2

The measure of ∠L is 54°.

Explanation:

In the ΔKLJ

By using the angle sum property of a triangle.

The total sum of a triangle is 180°.

∠K + ∠L + ∠J = 180°

As shown in the diagram

∠K = 2x°

∠L =3x°

∠J = 5x°

Put in the above

2x° + 3x° +5x° = 180°

10x° = 180°

`x = (180^(\circ))/(10^(\circ))`

x = 18°

Put the value of x .

∠L = 3x°

= 3 × 18°

= 54°

Therefore the measure of ∠L is 54°.