If m∠ABC = 25° and m∠CBD = 35°, what is m∠ABD?

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Multiple Choice

If m∠ABC = 25° and m∠CBD = 35°, what is m∠ABD?

Explanation:
At B, the two given angles share the vertex and sit next to each other along the path from BA to BD. The angle from BA to BC is 25°, and from BC to BD is 35°, so to go from BA all the way to BD you turn first 25° and then 35°. The total turn is 25° + 35° = 60°, so m∠ABD is 60°.

At B, the two given angles share the vertex and sit next to each other along the path from BA to BD. The angle from BA to BC is 25°, and from BC to BD is 35°, so to go from BA all the way to BD you turn first 25° and then 35°. The total turn is 25° + 35° = 60°, so m∠ABD is 60°.

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