Question

ángulos suplementarios y complementarios
b = 105° a =
b = 140° a =
b = a = 140°
b = a = 75°
b = a = 75°
b = 40° a =
b = a = 35°
b = 78° a =

Explanation:

Step1: Ángulos suplementarios

Dos ángulos son suplementarios si suman \(180^{\circ}\).

• Para \(B = 105^{\circ}\), \(A=180^{\circ}-105^{\circ}=75^{\circ}\)
• Para \(B = 140^{\circ}\), \(A = 180^{\circ}-140^{\circ}=40^{\circ}\)
• Para \(A = 140^{\circ}\), \(B=180^{\circ}-140^{\circ}=40^{\circ}\)
• Para \(A = 75^{\circ}\), \(B=180^{\circ}-75^{\circ}=105^{\circ}\)

Step2: Ángulos complementarios

Dos ángulos son complementarios si suman \(90^{\circ}\).

• Para \(A = 75^{\circ}\), \(B=90^{\circ}-75^{\circ}=15^{\circ}\)
• Para \(B = 40^{\circ}\), \(A=90^{\circ}-40^{\circ}=50^{\circ}\)
• Para \(A = 35^{\circ}\), \(B=90^{\circ}-35^{\circ}=55^{\circ}\)
• Para \(B = 78^{\circ}\), \(A=90^{\circ}-78^{\circ}=12^{\circ}\)

Answer:

1. \(A = 75^{\circ}\)
2. \(A = 40^{\circ}\)
3. \(B = 40^{\circ}\)
4. \(B = 105^{\circ}\)
5. \(B = 15^{\circ}\)
6. \(A = 50^{\circ}\)
7. \(B = 55^{\circ}\)
8. \(A = 12^{\circ}\)