Question

Given the following diagram, find the required measure. given: l | | m m <1 = 140° m <3 = 50° https://wca.sooschools.com/media/g_geo_ccss_2016/3/page70a.gif m< 4 = 40 90 130 140

Answer 1

We are given that

line(l) and line(m) are parallel to each other

and we have to find m< 4

we can see that m<3 and m<4 forms linear pair

since, they form linear pair

so, the sum of both angles must be 180°

so, we can write as

m<3 +m<4=180°

we are given

m<3=50°

now, we can plug it

50°+m<4=180°

now, we can solve for m<4

and we get

50°+m<4-50°=180°-50°

m<4=130°......................Answer