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

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.