Question

. In figure, l II m .The measure of angle x is

Answer 1

Answer:

l ll m

let the unknown number be m

105+30+m=180°(angles on same side of transversal)

135+m=180°

m=180°-135

m=45(m=x, vertically opposite angle)

hence x =45°

one more way-

let the angle on left side of x be y

so, m+y=180°(linear pair)

45+y=180°

y=180-45

y=135°

and finally,

x+y=180°

135+x=180°

x=180-135

x=45°