Answer:
The measure of ∠L is 54°.
Step-by-step 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°
[tex]x = \frac{180^{\circ}}{10^{\circ}}[/tex]
x = 18°
Put the value of x .
∠L = 3x°
= 3 × 18°
= 54°
Therefore the measure of ∠L is 54°.
