Two supplementary angles have measures m∠ABC=105°

Question

and m∠CBD=(3x−24)°
. What is the equation to solve for x
? (1 point)
(3x−24)°+
°=

°

Answer 1

Supplementary angles add up to 180 degrees. Given that m∠ABC = 105° and m∠CBD = (3x - 24)°, you can set up the equation as follows:

\[ 105° + (3x - 24)° = 180° \]

Now, you can simplify this equation:

\[ 105 + 3x - 24 = 180 \]

Combining the constants:

\[ 81 + 3x = 180 \]

Thus, the equation to solve for x is:

\[ 3x + 81 = 180 \]