GH and EF are straight lines. ∠GOE=95∘\angle\text{GOE} = 95^\circ and ∠JOH=32∘\angle\text{JOH} = 32^\circ. Find ∠FOJ\angle\text{FOJ}. Ans: ___ ∘^\circ

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1. Find angle HOF using vertically opposite angles

Since GH and EF are straight lines intersecting at O, ∠HOF\angle\text{HOF} and ∠GOE\angle\text{GOE} are vertically opposite angles.
∠HOF=∠GOE=95∘\angle\text{HOF} = \angle\text{GOE} = 95^\circ

2. Find angle FOJ by subtracting angle JOH from angle HOF

∠FOJ=∠HOF−∠JOH\angle\text{FOJ} = \angle\text{HOF} - \angle\text{JOH}
∠FOJ=95∘−32∘=63∘\angle\text{FOJ} = 95^\circ - 32^\circ = 63^\circ

Answer

5353

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