Question

In the adjoining figure, p || q. Find the unknown angles.​

Answer 1

Step-by-step explanation:

e=180°-125° (linear angles)

e=55°

f=e (vertical angles)

f=55°

d=125° (corresponding angles)

a=e (corresponding angles)

a=55°

c=a (vertical angles)

c=55°

b=d (vertical angles)

b=125°

Answer 2

Step-by-step explanation:

angle f + 125° = 180° (Linear pair)

angle f = 55°

angle f = angle e (Vertically opposite angles)

angle e = 55°

p ll q and a line as transversal,

angle f = angle c (Corresponding angles)

angle c = 55°

angle c = angle a (Vertically opposite angles)

angle a = 55°

p ll q and a line as transversal,

angle d = 125° (Corresponding angles)

angle d = angle b (Vertically opposite angles)

angle b = 125°

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