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Answer:
55°
Step-by-step explanation:
Draw the diagram according to the given data (see attached diagram).
In this diagram,
- line AC is runway A;
- line BD is runway B;
- line AB is runway C.
Note that ∠GCH=35°
Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.
Angles CDI and BDE are vertical angles, so angles CDI and BDE are congruent as vertical angles.
Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so
m∠BED=90°-m∠BDE
m∠BED=90°-35°=55°
