Valerie used the distributive property to write an equivalent expression.
2 answers:
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Applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<em><u>Recall:</u></em>
- Alternate angles are congruent and have equal angle measures.
- Angles on a straight-line = 180 degrees.
<em>The diagram showing the information and sketch of the Highland Park is attached below (see attachment).</em>
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<em><u>Thus:</u></em>
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
- Therefore,
m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
- Substitute
m<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
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