Question

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Answer 1

Answer:

Step-by-step explanation:

abc=80, abm= 100

acb= 40, acn= 140

angle a = 60

x=80, y=40

Answer 2

Answer:

x = 80° y = 40°

Step-by-step 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°