Question

A transversal XY cuts two lines PQ and RS at distinct points to
form angles 1 to 8. angle7 is thrice angle6 and angle1 is the sum of twice angle2
and 45°. If PQ and RS are parallel, find all the angles​

Answer 1

Answer:

let assume angle 6 is x. so, angle 7 will be 3x.

x+3x= 180

x=45

now, angle 6 is 45° and angle 7 is 45×3=135°

and by seeing all the relation between the angles

1=135

2=45

3=135

4=45

5=135

6 and 8 = 45

and 7= 135