In the given diagram ∠AJF or x comes to be 76°.
What are opposite angles?
Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.
We know that ∠JIH+∠JID=180°
107° +∠JID=180°
∠JID=180°-107°
∠JID=73°
∠JDI=31°(given))
In triangle JDI,
∠JDI+∠JID+∠IJD=180°
31° + 73° + ∠IJD =180°
∠IJD =76°
We know that ∠IJD and angle x° are opposite angles.
So, x=76°
Therefore, In the given diagram ∠AJF or x comes to be 76°.
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