a. The equation to find x is 11x = 176
b. The measure of
angle L = 93°
angle M = 71°
angle N = 16°
A triangle is a three sided polygon. The sum of angles in a triangle is 180°
therefore ;
4x + 7 + 6x - 3+ x = 180°
collect like terms
4x + 6x + x = 180 - 7 + 3
11x = 176
therefore the equation to find x is 11x = 176
b. 11x = 176
x = 176/11
x = 16
Therefore
angle N = x = 16°
angle M = 4x + 7 = 4(16) + 7
= 71°
angle L = 6x - 3
= 6(16) - 3
= 93°