Value of x is 76°
Explanation:
Given :- ∠JIH = 107°
and, JDI = 31°
To find :- value of x
solution:- ∠JIH + ∠JID =180° (the sum of angles on a line are supplementary)
∠JID = 180° - 107°
∠JID = 73°
Now in ΔJID
∠JID = 73° and ∠JDI = 31°
by angle some property of Δ
so, ∠JDI + ∠JID + ∠DJI = 180°
= 31° + 73° + ∠DJI = 180°
= 104° + ∠DJI = 180°
∠DJI = 180° - 104°
∠DJI = 76°
now, ∠DJI = ∠AJF = ∠X
so, x = 76°
hence value of x is 76°