Question

Calcular la medida de alfa y beta

Answer 1

α y β son ∡ suplementarios:
α+β = 180
3x+10 + x + 20 = 180
3x+x = 180-10-20
4x = 150
x = 150/4
x = 37.5

α = 3x+10° 
α = (3*37.5) + 10°
α = 112.5 + 10° 
α = 122.5°

β = x+20°
β = 37.5+20°
β = 57.5°

Comprobación:
122.5° + 57.5° = 180°


α = 122.5°
β = 57.5°