Calculate the unknown angles

Mathematics

1 answer:

Setler79 [48]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Since the 2 lines are parallel, then

d = 55° ( corresponding angles are congruent )

e = 55° (vertical to d and congruent )

e and f are same side interior angles and are supplementary, thus

e + f = 180°, that is

55° + f = 180° ( subtract 55° from both sides )

f = 125°

c = 125° ( alternate to f and congruent )

Hence

c = 125°, d = 55°, e = 55°, f = 125°

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