In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answer∠1∠2∠3∠4∠5∠6

Answer:[tex]m<1=99\°[/tex][tex]m<2=81\°[/tex] [tex]m<3=86\°[/tex][tex]m<4=86\°[/tex][tex]m<5=86\°[/tex][tex]m<6=94\°[/tex]Step-by-step explanation:Part 1) Find the measure of angle 1we know that[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles[tex]m<1=180\°-81\°=99\°[/tex]Part 2) Find the measure of angle 2we know that[tex]m<2=81\°[/tex] -----> by alternate exterior anglesPart 3) Find the measure of angle 3we know that[tex]m<3=86\°[/tex] -----> by vertical anglesPart 4) Find the measure of angle 4we know that[tex]m<4=86\°[/tex] ------> by corresponding anglesPart 5) Find the measure of angle 5we know that[tex]m<5=m<4[/tex] -----> by vertical anglesso[tex]m<5=86\°[/tex]Part 6) Find the measure of angle 6we know that[tex]m<5+m<6=180\°[/tex] -----> by supplementary angleswe have[tex]m<5=86\°[/tex]substitute[tex]86\°+m<6=180\°[/tex][tex]m<6=180\°-86\°=94\°[/tex]