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Calculate the unknown angles

Calculate the unknown angles-example-1
User Margot
by
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1 Answer

6 votes

Answer:

see explanation

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°

User Chris Mitchell
by
5.0k points