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 Answer
Hapa kuna jinsi ya kutatua pembe zilizoonyeshwa kwa herufi katika mchoro wa mwisho: Kwa mchoro wa mwisho (chini kabisa): 1. Kutafuta thamani ya n: Pembe n na pembe 105^ ziko kwenye mstari mnyoofu (angles on a straight line). Jumla ya pembe kwenye mstari mnyoofu ni 180^. n + 105^ = 180^ n = 180^ - 105^ n = 75^ Thamani ya n* ni 75^. 2. Kutafuta thamani ya q: Pembe mbadala ya ndani (alternate interior angle) kwa pembe ya 105^ (iliyopo chini kulia) ni pembe iliyo juu kushoto, kati ya mistari sambamba. Pembe hii pia ni 105^. Sasa, pembe hii ya 105^ na pembe q ziko kwenye mstari mnyoofu (angles on a straight line). q + 105^ = 180^ q = 180^ - 105^ q = 75^ Thamani ya q* ni 75^. 3. Kutafuta thamani ya m: Pembe m na pembe q ni pembe zinazokabiliana (vertically opposite angles). Pembe zinazokabiliana ni sawa. m = q m = 75^ Thamani ya m* ni 75^. 3 done, 2 left today. You're making progress.