Question

pls answer this question...I need the solution

Answer 1

Angle s =(congruent to)Angle Q
{Opposite angles of parallelogram are congruent}
110=z
angle z =110 (1)
angle S +angle W=180 {angles in linear pair }
110 + angle W=180
angle W=180-110
=70 (2)

Angle P=(congruent to) Angle R
{Opposite angles of parallelogram are congruent }
angle x=angle y (3)
In quadrilateral PQRS,
Angle P+Angle Q+Angle R+Angle S=360
x + z + y +110 =360
x + 110 + y + 110 =360( from 1)
x + x + 220 = 360(from 3)
2x = 360-220
x =140÷2
x =70
Angle x= Angle y=70