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(2X) + (3X - 70°) = 180°
Porque entre los dos suman 180°
2X + 3X - 70° = 180°
5X = 180° + 70°
5X = 250°
X = 250°/5 = 50°
X = 50°
2X = 2(50°) = 100°
3X - 70° = 3(50°) - 70° = 150° - 70° = 80°
Y en la parte superior por geometria tendria que un angulo mide 2X
Entonces seria:
2X + (Y - 10°) = 180°
2(50°) + Y - 10° = 180°
100° + Y - 10° = 180°
Y + 90° = 180°
Y = 180° - 90°
Y = 90°
Y - 10° = 90° - 10° = 80°
Rta: X = 50° y Y = 90°