Question

=
27 In the adjoining figure. It line a
al line b and line
a transversal then find x and
y
750​

Answer 1

Answer:

ans is 75 degree

Step-by-step explanation:

let us mark the points A and B on l

K and M on a l and N on b

suppose km and LN intersect AB at P and Q respectevely

since, a parallel b and L is transversel

then ,

m angle PQL = m angle APK ( corresponding angles)

= x = 105 degree

since, AB and LN are straight lines are intersect at Q , then

= m angle BQM = m angle PQM ( vertically opposite angles)

= y = x

since, AB is a straight line and I ray QN stand on it , then

= m angle BQN + m angle PQM = 180 degree ( angle in linear pair)

= y + m angle PQN = 180 degree

= 150 degree + m angle PQN = 180 degree

= m angle PQN = 180 degree - 150 degree

= m angle PQN = 75 degree

Now , m angle APM = m angle PQN ( corresponding angles)

= Z = 75 degree

I hope this solution is help you thank you