Question

In the adjoining figure AB||CD and l is the transversal find the values of x and y

Answer 1

Answer:

The value of x is 75 degrees and the value of y is 35 degrees.

Step-by-step explanation:

We know that, l is a line.

Therefore, the sum of angles BEL + EBP + PEF is 180.

Therefore, 60+40+ angle PEF is equal to 180.

Therefore, angle PEF= 80 degrees.

We know that sum of angles in the triangle, PEF is 180

Therefore, anglePEF +EPF+EFP = 180

This, way we find that x= 75 degrees.

Now, we know that angle BEF and angle EFD are co interior and sum of them is 180 degrees.

Thus, angle BEF + angle EFD = 180

Thus, 40+80  + 25+y = 180

Therefore, 145+y = 180

Thus, y = 35 degrees.

HOPE THIS HELPS YOU...

Answer 2

Answer:

The value of x is 75 degrees and the value of y is 35 degrees.

Step-by-step explanation:

We know that, l is a line.

Therefore, the sum of angles BEL + EBP + PEF is 180.

Therefore, 60+40+ angle PEF is equal to 180.

Therefore, angle PEF= 80 degrees.

We know that sum of angles in the triangle, PEF is 180

Therefore, anglePEF +EPF+EFP = 180

This, way we find that x= 75 degrees.

Now, we know that angle BEF and angle EFD are co interior and sum of them is 180 degrees.

Thus, angle BEF + angle EFD = 180

Thus, 40+80  + 25+y = 180

Therefore, 145+y = 180

Thus, y = 35 degrees.

HOPE THIS HELPS YOU...