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In the picture lines AB and CD are parallel. Find the measures of
the following angles. Explain your reasoning.
F
E
D
В.
38 A.
1. BCD
2. ZECF
3. ZDCF

In the picture lines AB and CD are parallel Find the measures of the following angles Explain your reasoning F E D В 38 A 1 BCD 2 ZECF 3 ZDCF class=

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akposevictor

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

m<DCF + 38° = 180° (substitution)

m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°