Question

Given that m∠LJK = 40°, what is m∠JKL?a) 50°
b) 60°
c) 70°
d) 80

Answer 1

Without additional information about the type of triangle or the measures of the other angles, we cannot determine the exact measure of angle JKL given only that angle LJK is 40°. The sum of the other two angles would be 140°, but this doesn't provide enough information to find the measure of angle JKL.

Correct option is D

Step-by-step explanation:

The student has asked to find the measure of angle JKL given that the measure of angle LJK is 40°. To solve for m∠JKL, we can use the fact that the sum of angles in a triangle equals 180°. Since a triangle has three angles, if we know one angle, we can subtract it from 180° to find the sum of the other two angles.

Here's the step-by-step explanation:

1. Calculate the sum of the remaining two angles: 180° - 40° = 140°.
2. Since we do not have additional information about the triangle, we cannot determine the exact measure of ∠JKL without making assumptions about the type of triangle.

Hence, without further information, we cannot conclude the precise measure of m∠JKL, so we cannot select from the given options (a) 50°, (b) 60°, (c) 70°, (d) 80°.