Two angles are supplementary. They have the following measures: m∠ACB=x°

Question

and m∠BCD=26°
. What is the measure of ∠ACB
?(1 point)

Answer 1

Two angles are supplementary if the sum of their measures equals 180 degrees.

Given:

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

Since these two angles are supplementary, we can write the equation:

\[ x + 26 = 180 \]

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

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

Therefore, the measure of \( ∠ACB \) is \( 154° \).