Question

Find Values of angles p,q, r and s


please answer fast :/

Answer 1

Answer:

p =70degree

q =70

s 110

r=110

Answer 2

Refer to attachment

Line m || line n || line a

and

Line p || line q || line b

Also

Line a is transverse of line p and q

Line b is transverse of line m and n

We need to find Angles P, Q, R and S

(I have kept angles in capital letters and lines in small to distinguish easily that either it is line or angle)

Now,

As line m || line n

Angle S = 110

(Because alternate interior angles of parallel lines are equal)

Angle P + Angle S = 180

(Because interior angle sums 180)

Angle P + 110 = 180

Angle P = 70

As line b and q are ||

Angle R = Angle P

(Because alternate interior angles of parallel lines are equal)

Angle R = 70

As line p and q are ||

Angle Q = Angle P

(Because corresponding angles of parallel lines are equal)

Angle Q = 70

(p.s. :- || means parallel)