Respuesta :

Angle 1 = 110
Angle 2 = 70
Angle 3 = 110
Angle 4 = 70
Angle 5 = 70
Angle 6 = 110
Angle 7 = 70
Angle 8 = 110

Solution:

we are given with a diagram in which we have

Lines M and L are parallel, and angle 1 is 110 degrees.

we have been asked to find the measures of all 7 other angles.

as we know when a straight line intersect a pair of parallel lines then their corresponding and alternate angles are equal so

[tex] <1=<3=<8=<6=<8=110^o [/tex]

Also [tex] <2=<4=<5=<7\\ [/tex]

Also [tex] <1+<2=180^o\\\\\Rightarrow <2=180-110=70^o\\\\<2=<4=<5=<7=70^o\\ [/tex]