Answer:
x = 80° y = 40°
Explanation:
ABC = 80° ACB = 40°
ABC+ACB+A = 180° (sum of angles in a triangle = 180°)
80+40+A = 180°
A = 60° (sum of angles in a triangle = 180°)
X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )
y = 40° (alternate angles, angle y is alternate to angle ACB = 40°)
to cross-check : sum of angles on a straight line = 180°
x+ y + A = 180sum of angles on a straight line = 180°
80+40+60 = 180°
ABM = 100° = (sum of angles on a straight line = 180°)
80° + 100° = 180°
ACN = 140° (sum of angles on a straight line = 180°)
40° + 140° = 180°