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 ?(1 point) Responses 180° 180 degrees 15° 15 degrees 75° 75 degrees 165°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees.

Given that m∠ABC=15° and m∠CBD=x°, we know that the sum of these two angles is 180°.

So, 15° + x° = 180°.

To find the value of x°, we can subtract 15° from both sides of the equation:

x° = 180° - 15° = 165°.

Therefore, the value of m∠CBD is 165°.