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Please help me explain this. Why is the measure of angle BCD 110 degrees?

Please help me explain this. Why is the measure of angle BCD 110 degrees?-example-1

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Answer:

see explanation

Explanation:

the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

∠ BCD is an exterior angle of the triangle , then

∠ BCD = ∠ ABC + ∠ BAC ( substitute values )

∠ BCD = 60° 50° = 110°

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