In a diagram,pqr is a straight line,(m+n)=120 and (n+r)=100.find the value of (m+r)

Answer 1

If (m+n)=120 and (n+r)=100

means

m + n =120° and n + r = 100°

then

m + n + r = 180°

Since m + n = 120°

120 ° + r = 180°

r = 180° - 120°

r = 60°

n + r = 100°

n + 60° = 100°

n = 100° - 60°

n = 40°

Again

m + n + r = 180°

m + 40 ° + 60° = 180°

m + 100° = 180°

m = 180° - 100°

m = 80°

m + r = 80° + 60° = 140^

Answer 2

m + r = 80° + 60° = 140°