Answer:
m<2=80° m<3= 100° m<4= 80° m<5=100° m<6=80° m<7=100° m<8=80° m<9=100° m<10=80° m<11=100° m<12=80° m<13=100° m<14= m<15=100° m<16=80°
Step-by-step explanation:
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent so <1 = <3. m<1 = 100° so m<3=100°. When the lines are parallel, the interior angles on the same side of the transversal are supplementary so
<1+<2=180°. We already know that <1 is 100° so to find <2, you need to subtract 100° from the 180° to get 80°, m<2=80°. <2=<4 according to the vertical angle theorm so m<4=80°. It's the same thing for all the others.
