Question

Match the reasons with the statements in the proof if the last line of the proof would be 6. ∠1 and ∠7 are supplementary by definition. Given: s || t Prove: 1, 7 are supplementary 1. s||t Given 2. ∠5 and ∠7 are supplementary. Exterior sides in opposite rays. 3. m∠5 + m∠7 = 180° Definition of supplementary angles. 4. m∠1 = m∠5 Substitution 5. m∠1 + m∠7 = 180° If lines are ||, corresponding angles are equal.

Answer 1

Answer:

Step-by-step explanation:

Given: s II t

Substitution: m<1 + m<7 = 180*

If lines are II, corresponding angles are equal: m<1 = m<5

<5 and <7 are supplementary: definition of supplementary angles

m<5 + m<7 = 180* : exterior sides in opposite rays

Answer 2

Answer:

Given : s||t

Exterior sides in opposite rays : ∠5 and ∠7 are supplementary

Definition of supplementary angles : m∠5 + m∠7 = 180°

If lines are ||, corresponding angles are equal : m∠1 = m∠5

Substitution : m∠1 + m∠7 = 180°