Two supplementary angles have measures m ABC = 105° and m CBD = (3×-24)°. What is the equation to solve for x?

1 answer

The measure of angle CBD is given as (3×-24)°. We can simplify this expression:

(3×-24)° = -72°

Since angle ABC and angle CBD are supplementary, their measures add up to 180°:

m ABC + m CBD = 180°

Substituting the given measures:

105° + (-72°) = 180°

Combining like terms:

33° = 180°

Since the equation 33° = 180° is not true, it does not need to be solved for x.