Question

kl 5 matematyka jedno zadani e

Answer 1

A) 180° = alfa+10° + alfa+20° + alfa
180° = 3alfa + 30°
180° - 30° = 3alfa
150° = 3alfa
3alfa = 150° |:3
alfa = 50°
alfa + 10° = 50° + 10° = 60°
alfa + 20° = 50° + 20° = 70°
50° + 60° + 70° = 180°

b) alfa+20° + 2alfa + alfa = 180°
2alfa + 20° + 2alfa = 180°
4alfa + 20° = 180°
4alfa = 180° - 20°
4alfa = 160° |:4
alfa = 40°
alfa + 20° = 40° + 20° = 60°
2alfa = 2 • 40° = 80°
40° + 60° + 80° = 180°