Give Statement & reason with every step also add an attachment, please!
Answers
Answer:
It is given that AB || CD and EF is a transversal
From the figure we know that ∠AEF and ∠EFG are alternate angles
So we get ∠AEF = ∠EFG = 75o ∠EFG = y
= 75o From the figure we know that ∠EFC and ∠EFG form a linear pair of angles
So we get ∠EFC + ∠EFG
= 180o It can also be written as x + y
= 180o By substituting the value of y we get x + 75o
= 180o On further calculation we get x
= 180o – 75o By subtraction x = 105o
From the figure based on the exterior angle property it can be written as ∠EGD = ∠EFG + ∠FEG By substituting the values in the above equation we get 125o
= y + z 125o = 75o + z
On further calculation we get z = 125o – 75o By subtraction z = 50o
Therefore, the values of x, y and z are 105o, 75o and 50o.
Answer:
Hey user kindly attachment