Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ?
The sum of two supplementary angles is 180 degrees.
So, we can write the equation:
m∠ABC + m∠CBD = 180°
105° + (3x - 24)° = 180°
Simplify the equation by combining like terms:
3x + 81° = 180°
Subtract 81° from both sides:
3x = 99°
Divide both sides by 3 to solve for x:
x = 33°
Therefore, the equation to solve for x is x = 33°.