Question

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

Answer 1

Answer:

130°

Step-by-step explanation:

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Answer 2

From the figure we know that ∠BAC and ∠ACD are consecutive interior angles

So we get

∠BAC + ∠ACD = 180°

By substituting the values

75° + ∠ACD = 180°

On further calculation

∠ACD = 180°– 75°

By subtraction

∠ACD = 105°

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

So we get

∠ECF = ∠ACD = 105°

According to the △ CEF

We can write ∠ECF + ∠CEF + ∠EFC = 180°

By substituting the values

105° + x°+ 30° = 180°

On further calculation

x° = 180° – 105°– 30°

By subtraction

x°= 180° – 135°

x° = 45°

Therefore, the value of x is 45.

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