In the figure the arrow head segments are parallel then find the value of x and y.
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Answered by
124
y=180-(105+35)
=180-140
=40
x=y
=40
=180-140
=40
x=y
=40
Answered by
102
Answer:
x=40° and y=40°
Step-by-step explanation:
∠FCG=∠BCE=105°( vertically opposite angles)
Now, using the straight angle property, ∠BCA+∠BCE+∠ECD=180°
⇒35°+105°+y=180°
⇒y=40°
Also, ∠BCD=∠BCE+∠ECD
= 105°+40°
∠BCD = 145°
Now, ∠BCA+∠ACF+∠FCG=180°
⇒35°+∠ACF+105°=180°
⇒∠ACF=40°
Therefore, ∠BCF=75°
Now, ∠1=∠BCF=75°(Alternate angles)
Also, ∠1+∠ABC=180°(Straight angle property)
∠ABC=180-75
∠ABC=105°
Now, using Angle sum property in triangle ABC,
∠BAC+∠ABC+∠BCA=180°
x+105°+35°=180°
x=40°
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