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A welder joined three pieces of metal as shown below. Work out the angle marked Z.

July 31, 2026Mathematics

ScanSolve AI Answer

Answer

86^\circ

4 steps

Tambua kuwa jumla ya pembe zinazozunguka sehemu moja ni $360^\circ$ .
Kutoka kwenye mchoro, tuna pembe tatu zinazozunguka sehemu moja: $100^\circ$ , $174^\circ$ , na $z$ .
Andika mlinganyo wa jumla ya pembe.
$100^\circ + 174^\circ + z = 360^\circ$
Jumlisha pembe zinazojulikana.
$274^\circ + z = 360^\circ$
Tafuta thamani ya $z$ kwa kutoa $274^\circ$ kutoka pande zote mbili za mlinganyo.
$z = 360^\circ - 274^\circ$ $z = 86^\circ$
Jibu la mwisho ni:
$86^\circ$

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