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.

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Answer
Hili hapa suluhisho la swali lako:
Step 1: Tambua sifa za pembetatu sawia (equilateral triangle). Pembetatu sawia ni pembetatu ambayo pande zake zote tatu zina urefu sawa, na pembe zake zote tatu za ndani zina ukubwa sawa. Jumla ya pembe za ndani za pembetatu yoyote ni .
Step 2: Kokotoa ukubwa wa kila pembe. Kwa kuwa pembe zote tatu za pembetatu sawia ni sawa, kila pembe inaweza kukokotolewa kwa kugawanya jumla ya pembe kwa 3.
Step 3: Taja ukubwa wa pembe YXZ. Katika pembetatu XYZ, pembe YXZ inarejelea pembe iliyo kwenye kipeo X. Kwa kuwa ni pembetatu sawia, pembe zote ni . Kwa hiyo, ukubwa wa pembe YXZ ni .
Jibu la mwisho ni: \text{Ukubwa wa pembe YXZ ni 60^\circ} Tuma swali linalofuata 📸
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Hili hapa suluhisho la swali lako: Step 1: Tambua sifa za pembetatu sawia (equilateral triangle).
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.