Question

find the value of x and y in the given figure please fast very urgent

Answer 1

Answer:

X=35°,y=105°

Step-by-step explanation:

Angle AOC=X(Vertically opposite angles)

X=35°

Angle DOB+Angle BOF+Angle COF=180°

35°+40°+__=180°

75°+__=180°

__=180°-75°

Angle COF=105°

Angle COF=y(Vertically opposite angles)

y=105°

Answer 2

To Find:-

• The value of x and y

Given:-

• ∠BOF = 40°
• ∠AOC = 35°

Solution:-

∠BOF = ∠AOE = 40° ( opposite angles )

So, the value of angle y

= ∠AOC + ∠AOE + y = 180°

( 180° is because of supplementary angle )

⟹ 35° + 40° + y = 180°

⟹ 75° + y = 180°

⟹ y = 180° - 75°

⟹ y = 105°

Now, the value of x

= ∠AOC = ∠x ( opposite angles )

Now, Verification

• The verification of ∠y

⟹ ∠AOC + ∠AOE + y = 180°

⟹ 35° + 40° + 105° = 180°

⟹ 75° + 105° = 180°

⟹ 180° = 180°

L.H.S = R.H.S

• The verification of ∠x

⟹ ∠y + ∠x + ∠BOF = 180°

⟹ 105° + 35° + 40° = 180°

⟹ 140° + 40° = 180°

⟹ 180° = 180°

L.H.S = R.H.S

Hence, Proved.