Answer:Matching Angles and MeasuresGiven: * m∠1 = 130° * m∠7 = 70°Using the properties of angles in parallel lines, we can determine the measures of the other angles. * m∠2: Since ∠1 and ∠2 are supplementary (they form a straight line), m∠2 = 180° - m∠1 = 180° - 130° = 50° * m∠3: Since ∠3 and ∠7 are alternate interior angles, m∠3 = m∠7 = 70° * m∠4: Since ∠4 and ∠1 are alternate interior angles, m∠4 = m∠1 = 130° * m∠5: Since ∠5 and ∠2 are supplementary (they form a straight line), m∠5 = 180° - m∠2 = 180° - 50° = 130° * m∠6: Since ∠6 and ∠7 are supplementary (they form a straight line), m∠6 = 180° - m∠7 = 180° - 70° = 110°Matching: * A. m∠2 = 50° * B. m∠3 = 70° * C. m∠4 = 130° * D. m∠5 = 130° * E. m∠6 = 110°
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