Question

In the triangle below, suppose that m < K = (5x - 3) degrees, m < L = (6x - 9) degrees, and m < M = x degree.

Find the degree measure of each angle in the triangle.

m < K =
m < L =
m < M =

Answer 1

x = 16

angle K = 77

angle L = 87

angle M = 16

Explanation:

Mathematically, the sum of interior angles of a triangle is 180 degrees

Thus:

(5x-3) + (6x-9) + x =180

12x -12 = 180

12x = 180+12

12x = 192

x = 192/12

x = 16

Angle K = 5x-3 = 5(16)-3 = 80-3 = 77

Angle L = 6(16)-9 = 96-9 = 87

Lastly;

angle M = 16 degrees