Respuesta:
a. C/B=30° B/A=60°
b. A/B= 45° B/C= 30° C/D= 15°
c. A/B= 50° B/C= 130°
d. A/B= 65° B/C= 45° C/D= 70°
Explicación paso a paso:
a) (x-10°)+(2x-20°) = 90°
x+2x-10-20=90
3x -30 = 90
3x = 90+30
x= 120/3
x = 40
C / B = (x-10°) = 40-10= 30°
B / A = (2x-20°) = 2*40-20 = 60°
b) 3x + 2x + x = 90
6x = 90
x = 90/6
x = 15
A/B= 3x = 3*15 = 45°
B/C= 2x = 2*15 = 30°
C/D= x =15°
c) (x+15) + (4x-10) = 180
x+4x+15-10= 180
5x+5=180
5x=180-5
x= 175/5
x=35
A/B = (x+15) = 35+15=50
B/C= (4x-10) = 4*35-10 =130
d) (3x-10)+(2x-5)+(x+45)=180
3x+2x+x-10-5+45=180
6x+30=180
6x=180-30
x=150/6
x= 25
A/B= (3x-10) = 3*25-10 = 65
B/C= (2x-5) = 2*25-5 = 45
C/D= (x+45) = 25+45 = 70
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Respuesta:
a. C/B=30° B/A=60°
b. A/B= 45° B/C= 30° C/D= 15°
c. A/B= 50° B/C= 130°
d. A/B= 65° B/C= 45° C/D= 70°
Explicación paso a paso:
a) (x-10°)+(2x-20°) = 90°
x+2x-10-20=90
3x -30 = 90
3x = 90+30
x= 120/3
x = 40
C / B = (x-10°) = 40-10= 30°
B / A = (2x-20°) = 2*40-20 = 60°
b) 3x + 2x + x = 90
6x = 90
x = 90/6
x = 15
A/B= 3x = 3*15 = 45°
B/C= 2x = 2*15 = 30°
C/D= x =15°
c) (x+15) + (4x-10) = 180
x+4x+15-10= 180
5x+5=180
5x=180-5
x= 175/5
x=35
A/B = (x+15) = 35+15=50
B/C= (4x-10) = 4*35-10 =130
d) (3x-10)+(2x-5)+(x+45)=180
3x+2x+x-10-5+45=180
6x+30=180
6x=180-30
x=150/6
x= 25
A/B= (3x-10) = 3*25-10 = 65
B/C= (2x-5) = 2*25-5 = 45
C/D= (x+45) = 25+45 = 70