Question

In the figure given below, AB || CD and AE|| CF,FCG=90° and BAC=120°. Find the values of the angles x, y and z.
pls answer it fast need urgent....
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Answer 1

Answer:

AB∣∣CD and AE∣∣CF, ∠FCG=90

o

and ∠BAC=120

o

line AB ∣∣ line CD

∴ ∠BAC and ∠ACD are supplementary angles.

Sum of supplementary angles is 180

0

∴∠BAC+∠ACD=180

0

∴120

0

+x=180

0

∴x=60

0

Also,

∠DCA+∠ACF+∠FCG=180

0

x+y+90

0

=180

0

60

0

+y+90

0

=180

0

y=30

0

line AE ∣∣ line CF

∴ ∠EAC and ∠ACF are supplementary angles.

Sum of supplementary angles is 180

0

∴∠EAC+∠ACF=180

0

∴z+y=180

0

∴z+30=180

0

∴z=150

0

Answer 2

Answer:

$x = 60 \: and \: y = 30$

Step-by-step explanation:

$120 + x = 180(liner \: pair)$

$x = 180 - 120$

$x = 60$

$60 + 90 + y = 180(liner \: pair)$

$y + 150 = 180$

$y = 180 - 150$

$y = 30$

i hope it will help u mate❣️❣️