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

∠



?(1 point)
Responses

180°
180 degrees

165°
165 degrees

15°
15 degrees

75°
75 degrees

Answer 1

Since the two angles are supplementary, their measures add up to 180 degrees.

We are given that the measure of angle ABC is 15 degrees.

Let's use x to represent the measure of angle CBD.

Therefore, we have the equation:

15 + x = 180

Subtracting 15 from both sides:

x = 180 - 15

x = 165

The value of angle CBD is 165 degrees.