Question

con base a la figura, calcula el valor de los ángulos indicados en ella ​

Answer 1

a) (6y-20°) + (4y+10°) = 90°

10y - 10° = 90°

10y = 90° + 10°

y = 100°/10

y = 10°

ángulo (6y-20) = 6(10)-20 = 60-20 = 40°

ángulo (4y+10) = 4(10)+10 = 40+10 =50°

ángulo (3y) = 3(10) = 30°

b) 7x-70 = 30-2x

7x+2x-70 = 30

9x = 30+70

x = 100/9

x = 11.1111111

ángulo (7x-70) = 7(11.1111)-70 = 77.7777-70 = 7.7777

ángulo (30-2x)=30-2(11.1111)=30-22.2222 = 7.7777

c) 50°+2m = 70°+m

50°+2m-m = 70°

m = 70°-50°

m = 20°

ángulo (50°+2m) =50°+2(20°) = 50°+40° = 90°

ángulo (70°+m) = 70°+20° = 90°