Question

in given figure if AB ll CD angle 1 = 75° find the measures of all angles

Answer 1

angle 1 = 75
angle 2=105 ( linear pair )
angle 3=75 ( vertically opposite angle of 1 angle)

angle 4= 105 ( vertically opp angle of 2 angle)

angle 5= 75 ( corrosponding angle)

angle 6= 105 ( linear pair)

angle 7= 75 ( vertically opp angle)
angle8= 105 ( linaer pair)

Answer 2

<1=75 (given )
<2=180-75(linear pair)
=105
<1=<3 (vertically opposite angles are equal)
<2=<4 (vertically opposite angles are equal)
<2=<6 (corresponding angles are equal)
<1=<5 (corresponding angles are equal)
<5=<7 (vertically opposite angles are equal)
<6=<8 (Vertically opposite angles are equal)