Question

In the figure, if AB∣∣CD, then x= ____________.

Answer 1

Answer:

X=55

Step-by-step explanation:

∠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.