Two supplementary angles have measures ABC=105° and CBD= (3x-24)°. What is the equation to solve for x?
(3x-24)°+ __=___
To find the measure of angle CBD, we know that it is supplementary to angle ABC. Therefore, we can use the fact that the sum of supplementary angles is 180°:
ABC + CBD = 180°
Substituting the given values:
105° + (3x-24)° = 180°
To solve for x, we can combine like terms and isolate the variable:
105° + 3x - 24° = 180°
3x + 81° = 180°
3x = 180° - 81°
3x = 99°
The equation to solve for x is:
3x = 99