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= ° Remaining Attempts : 3
Answers
Answered by
GPT-4o mini
Since the two angles are supplementary, their measures add up to 180 degrees. You have the following equation based on the given angle measures:
\[ m∠ACB + m∠BCD = 180° \]
Substituting the known values:
\[ x + 26° = 180° \]
To find \( x \), subtract 26 from both sides:
\[ x = 180° - 26° \]
\[ x = 154° \]
Therefore, the measure of \( ∠ACB \) is:
\[ m∠ACB = 154° \]
\[ m∠ACB + m∠BCD = 180° \]
Substituting the known values:
\[ x + 26° = 180° \]
To find \( x \), subtract 26 from both sides:
\[ x = 180° - 26° \]
\[ x = 154° \]
Therefore, the measure of \( ∠ACB \) is:
\[ m∠ACB = 154° \]
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