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
Huu hapa ni ufumbuzi wa swali lako: Tafuta thamani ya a na b Step 1: Tambua sifa za pembe tatu MNO. Kutoka kwenye mchoro, tunaona alama za vema kwenye pande MN na NO. Hii inamaanisha kuwa MN = NO, hivyo pembe tatu MNO ni pembe tatu pacha (isosceles triangle). Katika pembe tatu pacha, pembe zinazokabili pande sawa ni sawa. Hivyo, MON = M. Tunapewa M = 56^. Kwa hiyo, MON = 56^. Step 2: Tafuta thamani ya a. Jumla ya pembe za ndani za pembe tatu ni 180^. Katika pembe tatu MNO: M + MON + N = 180^ 56^ + 56^ + a = 180^ 112^ + a = 180^ a = 180^ - 112^ a = 68^ Thamani ya a ni 68^. Step 3: Tafuta thamani ya b. Mstari MQ ni mstari ulionyooka. Pembe kwenye mstari ulionyooka hujumlisha 180^. Pembe b na MON ziko kwenye mstari ulionyooka MQ. Hivyo, MON + b = 180^. 56^ + b = 180^ b = 180^ - 56^ b = 124^ Thamani ya b ni 124^. Kumbuka: Pembe ya 19^ haihitajiki kutafuta thamani za a na b kama zilivyoelezwa kwenye mchoro. That's 2 down. 3 left today — send the next one.