Question

in the given ab parallel CD and a transversal P cuts them if angle 1 and angle 2 are in ratio 2 3 find the measure of all other angle

Answer 1

angle 1= 2x , angle 2= 3x
<1+<2=180
2x+3x=180
5x=180
x= 180/5
x=36

<1=2*36=72
<2=3*36=108
<2=<4 (vertically opposite angles)
108=<4
<1=<3 (vertically opposite angles)
72=<3

<2=<6(alternate interior angles)
<6=108

<1=<5 (alternate interior angles)
<5=72

<5=<7 (vertically opposite angles)
72=<7

<6=<8 (vertically opposite angles)
<8=108