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 ?
Responses:
165°
15°
180°
75°
The measure of angle ABC is given as 15°.
Since angle ABC and angle CBD are supplementary, the sum of their measures is 180°.
Therefore, we have:
15° + x° = 180°
To find the value of x°, we can subtract 15° from both sides of the equation:
x° = 180° - 15°
Simplifying the expression:
x° = 165°
Therefore, the value of angle CBD, m∠CBD, is 165°.