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
Two supplementary angles have measures ABC=105° and CBD= (3x-24)°. What is the equation to solve for x?
(3x-24)°+ __=___
1 answer