Question

On figure arrow head segement are parellel then find the value of x and y

Answer 1

Answer:

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°

Thanks...