Question

Calculati masa unghiurilor a ( O este centrul cercului) ex.8 Ajutatima va rooog , am nevoe urgent!!!!

Answer 1

    
[tex]\displaystyle \\ 8a) ~~\alpha = \frac{360-144}{2} = \frac{216}{2} = \boxed{108^o} \\ \\ 8b) ~~\alpha = 180-110 = \boxed{70^o} \\ 8c) ~~\alpha = 180 - (\alpha - 40) \\ \alpha = 180 - \alpha + 40 \\ 2\alpha = 180 + 40 \\ \\ \alpha = \frac{180 + 40}{2} = \frac{220}{2} = \boxed{110^o} \\ \\ 8d) ~~\alpha = 180 - (\alpha + 30) \\ \alpha = 180 - \alpha - 30 \\ 2\alpha = 180 - 30 \\ \\ \alpha = \frac{180 - 30}{2} = \frac{150}{2} = \boxed{75^o} [/tex]