Question

Given: y || z
Prove: m<5 + m<2 + m<6 + 180

Answer 1

The answers are below. Good luck :)

Explanation:

<1 congruent to <5 Given

<3 congruent to <6 Alternate Interior Angles theorem

m<1 = m<5 Alternate Interior Angles theorem

m<3 = m<6 Definition of congruent angles

m<1+m<2+m<3=m< LAM Definition of congruent angles

m<1+m<2+m<3=180 Angle additon postulate

m<5+m<2+m<6=180 Definition of straight angle