Question

In the given figure, AB||CD. Find the value of 'x'. ​

Answer 1

Answer:

You should have given the figure. But, I will guess a question and answer .

Step-by-step explanation:

t is given that AB || CD and AC is a transversal. From the figure we know that ∠BAC and ∠ACD are consecutive interior angles

So we get ∠BAC + ∠ACD = 180o

By substituting the values 75o + ∠ACD = 180o

On further calculation ∠ACD = 180o – 75o By subtraction ∠ACD = 105o

From the figure we know that ∠ECF and ∠ACD are vertically opposite angles

So we get ∠ECF = ∠ACD = 105o

According to the △ CEF We can write ∠ECF + ∠CEF + ∠EFC = 180o

By substituting the values 105o + xo + 30o = 180o

On further calculation xo = 180o – 105o – 30o

By subtraction xo = 180o – 135o xo = 45o Therefore, the value of x is 45.