Question

In the given figure find the value of angle xof

Answer 1

Answer:where is d figure???

Step-by-step explanation:

Answer 2

In the given figure find the value of angle xof

Consider the attached figure while going through the following steps.

Given,

In Δ XEO and Δ XFO,

OE = OF       (radii of same circle)

∠ XEO = ∠ XFO = 90°    (same angles)

OX = OX      (common side)

∴ Δ XEO  ≅  Δ XFO       (by SAS theorem)

⇒ ∠ EXO = ∠ FXO = 35°

In Δ XFO,

∠ FXO + ∠ XOF + ∠ OFX = 180°

90°  + ∠ XOF + 35° = 180°

∠ XOF + 125° = 180°

∠ XOF  = 180°- 125°

∴  ∠ XOF  = 55°