In Fig., AB || CD and AE || CF; ∠FCG = 90° and ∠BAC = 120°. Find the values of x and y only.
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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
Step-by-step explanation:
hope u will find it easy
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