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

If two angles are supplementary, their measures add up to 180 degrees. Given:

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

We can set up the equation:

\[ x + 26 = 180 \]

To find \( x \), we can subtract 26 from both sides:

\[ x = 180 - 26 \]

Calculating that gives:

\[ x = 154 \]

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

\[ m∠ACB = 154° \]