Question

8. In the figure given below, AB || CD || EF. If ZBAC = 110° and ZFEC = 120°, find the measure of
parallel line.
LACE
B
А A
110°
bject
apple
lateri
Torki
10
D
120°
F
E
MATHE​

Answer 1

Step-by-step explanation:

Given: CD || EF

∠ FEC + ∠ECD = 180°

[Sum of co-interior angles is supplementary to each other]

=> ∠ECD = 180° – 130° = 50°

Also, BA || CD

=> ∠BAC = ∠ACD = 70°

[Alternative angles of parallel lines are equal]

But, ∠ACE + ∠ECD =70°

=> ∠ACE = 70° — 50° = 20°