Question

1. If m<5=60, then m<4=? and m<2=?2. If m<7=110, then m<3=? and m<4=?3. If m<6=x, then m<2=? and m<1=?

Answer 1

Part 1

we have

m<5=60 degrees

we know that

m<4=m>5 ----> by alternate interior angles

so

m<4=60 degrees

and

m<4+m<2=180 degrees -------> by form a linear pair

60+m<2=180

m<2=120 degrees

Part 2

m<7=110 degrees ----> given

so

m<3=m<7 ----> by corresponding angles

m<3=110 degrees

and

m<3+m<4=180 degrees -----> by form a linear pair

110+m<4=180

m<4=70 degrees

Part 3

m<6=x ----> given

m<2=m<6 ----> by corresponding angles

so

m<2=x degrees

and

m<1+m<2=180 degrees -----> by form a linear pair

m<1+x=180

m<1=(180-x) degrees