Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
