Question

In the triangle below, suppose that m angle L=(5x-3)m angle M=(4x-7)^ , and m angle N=x Find the degree measure of each angle in the triangle .

Please I need this done in 15 minutes !!!!!

Answer 1

Because all angles adds up to 180 we are going to add the equations and equal it to 180.

5x - 3 + 4x - 7 + x = 180
5x + 4x + x - 3 - 7 = 180
10x - 10 = 180
10x = 180 + 10
10x / 10 = 190/10
x = 19 degrees

5x - 3
5(19) - 3 = 92 degrees

4x - 7
4(19) - 7 = 69 degrees

angle L = 92 degrees
angle M = 69 degrees
angle N = 19 degrees