Question

(3)
E E
P Р
А
(3Z - 42)°
B
(2z - 13)°
С
Q
DO
F
In the figure, AB || CD, then find the value of z.
Solution :​

Answer 1

I can't understand the question

Answer 2

Answer:

ANSWER

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

∴∠GEF=30

o

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

⇒∠GCD=30

o

Now, ∠BCD=∠BCG+∠GCD

⇒∠BCD=25

o

+30

o

=55

o

∠ABC=∠BCD(∵AB∣∣CD)

∠ABC=x=55

o

Therefore the value of x is 55.