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=

°

1 answer

The two angles are supplementary, which means that their measures add up to 180 degrees. Given that:

  • \( m∠ACB = x \)°
  • \( m∠BCD = 26 \)°

We can write the equation:

\[ x + 26 = 180 \]

To find the measure of \( m∠ACB \), we can subtract 26 from both sides:

\[ x = 180 - 26 \] \[ x = 154 \]

Therefore, the measure of \( m∠ACB \) is:

\[ \boxed{154}° \]