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