In Fig. 6.35, QP || RT. Find the values of x and y.

Given: QP || RT

Formula Used/Theory:-

→ Angle sum property

Sum of all angles of triangle is 180°

→ if lines are parallel then alternate angles are equal

AS QP || RT

And PR is transverse

x = 70° ∵ Alternate angles

By angle sum property

x + y + 30° = 180°

70° + y + 30° = 180°

Y + 100° = 180°

y = 180° - 100° = 80°

Result:- x = 70°; y = 80°