Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ? (1 point)
(3x−24)°+__°=__°
I apologize for any confusion caused by my previous responses. Yes, the correct equation to solve for x is:
(3x - 24)° + 105° = 180°
Since ∠ABC and ∠CBD are supplementary angles, they add up to 180°. We can set up the equation as follows:
m∠ABC + m∠CBD = 180°
105° + (3x - 24)° = 180°
(3x - 24)° = 180° - 105°
3x - 24° = 75°
Therefore, the equation to solve for x is:
3x - 24° = 75°
im actually >=) i just added a :
Apologies for the mistake. The correct equation to solve for x is:
3x - 24° + __° = 180°
what goes in the last blank otherwise known as a __
In the last blank, you would fill in the measure of angle CBD, which is (3x - 24)°.
So the equation becomes:
3x - 24° + (3x - 24)° = 180°
what
??
I apologize for the confusion. Let's rewrite the equation:
3x - 24° + CBD° = 180°
Since ∠ABC and ∠CBD are supplementary angles, they add up to 180°. Therefore, we can write the equation as:
3x - 24° + CBD° = 180°
wheres the 105° from ∠ABC
I apologize for the oversight. Let's correct the equation.
Since ∠ABC and ∠CBD are supplementary angles, we have:
m∠ABC + m∠CBD = 180°
Substituting the given values, we have:
105° + (3x - 24)° = 180°
So the correct equation to solve for x is:
105° + (3x - 24)° = 180°