In the triangle KLN, the angle K = 24 °, and the angle L is twice the angle N. Find the degree measure of the angle

In the triangle KLN, the angle K = 24 °, and the angle L is twice the angle N. Find the degree measure of the angle L and determine the type of triangle KLN.

Let us denote the degree measure of the angle N as x. Then the degree measure of the angle L will be equal to 2x. The sum of the angles of the triangle is 180 °, we compose and solve the equation:

24 ° + x + 2x = 180 °;

3x = 156 °;

x = 52 °.

Therefore, the degree measure of the angle L is 2 * 52 ° = 104 °.

By definition, the angle L is obtuse, which means that the triangle KLN is obtuse.

Answer: ∠L = 104 °; the triangle KLN is obtuse.