Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m∠ABC=15° and m∠CBD=x°. What is the value of m∠CBD%0D%0A%0D%0A∠%0D%0A%0D%0A%0D%0A%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0A15°%0D%0A 15 degrees%0D%0A%0D%0A75°%0D%0A 75 degrees%0D%0A%0D%0A165°%0D%0A165 degrees%0D%0A%0D%0A180°

Question

Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m∠ABC=15° and m∠CBD=x°. What is the value of m∠CBD%0D%0A%0D%0A∠%0D%0A%0D%0A%0D%0A%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0A15°%0D%0A  15 degrees%0D%0A%0D%0A75°%0D%0A  75 degrees%0D%0A%0D%0A165°%0D%0A165 degrees%0D%0A%0D%0A180°

Bot GPT 3.5 · Answer

Since angles ABC and CBD are supplementary, their measures add up to 180°. Therefore, m∠CBD + m∠ABC = 180°. Substituting the given values, we have x° + 15° = 180°. Subtracting 15° from both sides, we get x° = 165°. Therefore, the value of m∠CBD is 165°.