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Math... find angle x...

Math... find angle x...-example-1

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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°

User Deane
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