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 la 3: a) Kokotoa ukubwa wa ABD. Step 1: Tafuta BAD. Kwa kuwa EADF ni mstari ulionyooka, jumla ya pembe kwenye mstari ni 180^. BAD + BAE = 180^ Tunajua BAE = 98^. BAD = 180^ - 98^ = 82^ Step 2: Tafuta ABC. Pembe ya nje ya quadrilateral ya mzunguko ni sawa na pembe ya ndani iliyo kinyume. ABC = CDF Tunajua CDF = 68^. ABC = 68^ Step 3: Tafuta ADC. Jumla ya pembe zinazopingana katika quadrilateral ya mzunguko ni 180^. ABC + ADC = 180^ 68^ + ADC = 180^ ADC = 180^ - 68^ = 112^ Step 4: Tafuta ADB. Tunajua ADC = 112^ na BDC = 45^. ADB = ADC - BDC ADB = 112^ - 45^ = 67^ Step 5: Tafuta ABD katika ABD. Jumla ya pembe katika pembetatu ni 180^. ABD + BAD + ADB = 180^ ABD + 82^ + 67^ = 180^ ABD + 149^ = 180^ ABD = 180^ - 149^ = 31^ Kwa hivyo, a) ABD = 31^. b) Kokotoa ukubwa wa CBD. Step 6: Tafuta CBD. Tunajua ABC = 68^ na ABD = 31^. CBD = ABC - ABD CBD = 68^ - 31^ = 37^ Kwa hivyo, b) CBD = 37^. Tuma swali linalofuata 📸