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