1

א α=180°-22°=158°

ב α=180°-162°=18°

ג α=180°-67°=113°

x+100+x=180°

2x=80°

x=40°; x+100=140°

x+80+3x=180°

4x=100°

x=25°; x+80=105°; 3x=75°

7x+15°+3x-35°=180°

10x=200°

x=20°;  7x+15°=155°; 3x-35°=25°

2

137°+β+α+γ=360°

β=137°

α+γ=360°-2*137°

α+γ=86°

α=γ=86/2=43°

66°+β+α+γ=360°

β=66°

α+γ=360°-2*66°

α+γ=228°

α=γ=228/2=114°

114°+β+α+γ=360°

β=114°

α+γ=360°2*114°

α+γ=132°

α=γ=132/2=66°

3

2*5x+2*x=360°

12x=360°

x=30°

∠APD=x=30°

∠DPB=5x=150°

∠APC=5x=150°

4

α=180°-146°=34°

α=180°-133°=47°

α=137°