Question

Question
Two angles are supplementary. They have the following measures: m∠ACB=x°
and m∠BCD=26°
. What is the measure of ∠ACB
?(1 point)
m∠ACB=

°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees. Given that:

- m∠ACB = x°
- m∠BCD = 26°

We can set up the following equation based on the definition of supplementary angles:

\[ x + 26 = 180 \]

To find the measure of angle ACB (x), we can subtract 26 from both sides:

\[
x = 180 - 26
\]

Calculating that gives:

\[
x = 154
\]

Thus, the measure of ∠ACB is:

\[
m∠ACB = 154°
\]