Carmen found m∠1 this way: Measure of angle 1 = 105 degrees because if two lines are parallel, alternate exterior angles are equal.

Is her answer correct? Explain why or why not.

Which value would be a solution for x in the inequality 47-4x< 7

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given

Explain how the quotient of powers was used to simplify this expression.