Two line segment line ad and line bc intersect at o.joining line ab and line dc we get two triangles, triangle aob and triangle doc as shown in the figure.find the angle a and angle b.triangle aob a=3x b=2x and triangle doc d=70degree and c=30degree.
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∠A = 60° & ∠B = 40° where in fig ∠A= 3x ∠B = 2x ∠C = 30° & ∠D = 70°
Step-by-step explanation:
in Δ COD
∠C + ∠D + ∠COD = 180°
=> 30° + 70° + ∠COD = 180°
=> ∠COD = 80°
∠AOB = ∠COD = 80° ( opposite angles)
in Δ AOB
∠A + ∠B+ ∠AOB = 180°
=> 3x + 2x + 80° = 180°
=> 5x = 100°
=> x = 20°
∠A = 3x = 60°
∠B = 2x = 40°
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