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Norma-Jean [14]
3 years ago
15

Math... find angle x...

Mathematics
1 answer:
choli [55]3 years ago
8 0

Value of x is 76°

<u> </u><u>Step-by-step explanation:</u>

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°

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