Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
4x - 2 + 4x - 3 + 9x - 2 = 180 , that is
17x - 7 = 180 ( add 7 to both sides )
17x = 187 ( divide both sides by 17 )
x = 11
then
∠ MNO = 9x - 2 = 9(11) - 2 = 99 - 2 = 97°
∠ MON = 4x - 2 = 4(11) - 2 = 44 - 2 = 42°
∠ NMO = 4x - 3 = 4(11) - 3 = 44 - 3 = 41°
