Question

In ΔKLM, k = 56 inches, m = 51 inches and ∠M=28°. Find all possible values of ∠K, to the nearest degree.

Answer 1

To find the value of angle K in triangle KLM, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle M is 28 degrees, we can subtract this from 180 to find the sum of angles K and L. So, 180 - 28 = 152 degrees. Since angle K and angle L are congruent, we can divide this sum by 2 to find the measure of each angle. Therefore, angle K is approximately 76 degrees.

Step-by-step explanation:

To find the value of angle K in triangle KLM, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since we know that angle M is 28 degrees, we can subtract this from 180 to find the sum of angles K and L. So, 180 - 28 = 152 degrees. Since angle K and angle L are congruent, we can divide this sum by 2 to find the measure of each angle. Therefore, angle K is approximately 76 degrees.