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Diagram, line bc is parallel to de. i.e bc de abc = 42 cab = 109 find falls

Diagram, line bc is parallel to de. i.e bc de abc = 42 cab = 109 find falls-example-1
User Japhyr
by
7.5k points

1 Answer

6 votes

Answer:

x = 29°

Explanation:

Since line BC is parallel to line DE, therefore:

m<BAD = 42° (alternate interior angles are congruent)

m<BAD + m<BAC + x = 180° (angles on a straight line)

42° + 109° + x = 180° (substitution)

151° + x = 180°

Subtract 151 from each side

x = 180 - 151

x = 29°

User Noralis
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