Question.. In the given fig, if AB ||CD then find value of x
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Answer:
∠GEF=180−∠CEF
(∵∠GEF and ∠CEF are complementary angles)
∴∠GEF=30°
and ∠GCD=∠GEF (from the figure, CD∣∣EF)
⇒∠GCD=30°
Now, ∠BCD=∠BCG+∠GCD
⇒∠BCD=25° +30°
=55°
∠ABC=∠BCD(∵AB∣∣CD)
∠ABC = x = 55°
Therefore the value of x is 55.
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