Find the value of the angles marked with letters.

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• Pembe $n$ na pembe $105^\circ$ ziko kwenye mstari mnyoofu (angles on a straight line). Jumla ya pembe kwenye mstari mnyoofu ni $180^\circ$.
• $n + 105^\circ = 180^\circ$
• $n = 180^\circ - 105^\circ$
• $n = 75^\circ$
• Thamani ya n ni $\boxed{\text{75}^\circ}$.

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• Pembe mbadala ya ndani (alternate interior angle) kwa pembe ya $105^\circ$ (iliyopo chini kulia) ni pembe iliyo juu kushoto, kati ya mistari sambamba. Pembe hii pia ni $105^\circ$.
• Sasa, pembe hii ya $105^\circ$ na pembe $q$ ziko kwenye mstari mnyoofu (angles on a straight line).
• $q + 105^\circ = 180^\circ$
• $q = 180^\circ - 105^\circ$
• $q = 75^\circ$
• Thamani ya q ni $\boxed{\text{75}^\circ}$.

*:

• Pembe $m$ na pembe $q$ ni pembe zinazokabiliana (vertically opposite angles). Pembe zinazokabiliana ni sawa.
• $m = q$
• $m = 75^\circ$
• Thamani ya m ni $\boxed{\text{75}^\circ}$.