Question

12 In the figure , if AB is parallel
to CD, then x us
B 3
3140
с C
D​

Answer 1

Answer:

ANSWER

∠GEF=180−∠CEF(∵∠GEF and ∠CEFare complementary angles)

∴∠GEF=30o

and ∠GCD=∠GEF  (from the figure, CD∣∣EF)

⇒∠GCD=30o

Now,  ∠BCD=∠BCG+∠GCD

⇒∠BCD=25o+30o=55o

∠ABC=∠BCD(∵AB∣∣CD)

∠ABC=x=55o

Therefore the value of x is 55.