Answer:
a = 60°
b = 68°
x = 30°
y = 110°
Step-by-step explanation:
• a = 60°,
because angle a and the 60° angle are alternate angles as they are on opposite sides of the transversal line (the line that crosses the two parallel lines), and alternate angles are equal.
• b + 112° = 180° [because the two angles are interior angles, and
interior angles add up to 180°]
b = 180° - 112°
b = 68°
• y + 2x +10° = 180° [angles on a straight line add up to 180°]
y + x + 40° = 180° [interior angles]
Solve the two equations simultaneously by subtracting the second from the first:
x - 30° = 0
x = 30°
Substitute x = 0 into the second equation to get the value of y:
y + 30° + 40° = 180°
y = 180° - 30° - 40°
y = 110°
Hope this helps!
