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

July 31, 2026Mathematics

ScanSolve AI Answer

July 31, 2026

Answer

$86^\circ$

Hatua ya 1: 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 $z$ .

Hatua ya 2: Andika mlinganyo wa jumla ya pembe. $100^\circ + 174^\circ + z = 360^\circ$

Hatua ya 3: Jumlisha pembe zinazojulikana. $274^\circ + z = 360^\circ$

Hatua ya 4: 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: $86^\circ$ That's 2 down. 3 left today — send the next one.

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Hatua ya 1: Tambua kuwa jumla ya pembe zinazozunguka sehemu moja ni 360^. Kutoka kwenye mchoro, tuna pembe tatu zinazozunguka sehemu moja: 100^, 174^, na z.

Asked on July 31, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on July 31, 2026

Hatua ya 1: Tambua kuwa jumla ya pembe zinazozunguka sehemu moja ni 360^. Kutoka kwenye mchoro, tuna pembe tatu zinazozunguka sehemu moja: 100^, 174^, na z. Hatua ya 2: Andika mlinganyo wa jumla ya pembe. 100^ + 174^ + z = 360^ Hatua ya 3: Jumlisha pembe zinazojulikana. 274^ + z = 360^ Hatua ya 4: Tafuta thamani ya z kwa kutoa 274^ kutoka pande zote mbili za mlinganyo. z = 360^ - 274^ z = 86^ Jibu la mwisho ni: 86^ That's 2 down. 3 left today — send the next one.

Asked on July 31, 2026Mathematics

ScanSolve AI AnswerAnswered on July 31, 2026

Hatua ya 1: Tambua kuwa jumla ya pembe zinazozunguka sehemu moja ni 360^. Kutoka kwenye mchoro, tuna pembe tatu zinazozunguka sehemu moja: 100^, 174^, na z. Hatua ya 2: Andika mlinganyo wa jumla ya pembe. 100^ + 174^ + z = 360^ Hatua ya 3: Jumlisha pembe zinazojulikana. 274^ + z = 360^ Hatua ya 4: Tafuta thamani ya z kwa kutoa 274^ kutoka pande zote mbili za mlinganyo. z = 360^ - 274^ z = 86^ Jibu la mwisho ni: 86^ That's 2 down. 3 left today — send the next one.