measure the following angle a,b,c,d,e while giving reasons
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Here,
a = 65° (Vertically opp. Angles)
b = 65° (Alternate angle to a)
c = 115° (Corresponding angle to the corresponding angle which is marked as 115°)
c + e = 180°
115° + e = 180°
e = 65°
d = 65° (Alternate angle to e)
a = 65° (Vertically opp. Angles)
b = 65° (Alternate angle to a)
c = 115° (Corresponding angle to the corresponding angle which is marked as 115°)
c + e = 180°
115° + e = 180°
e = 65°
d = 65° (Alternate angle to e)
So, i have written the samw
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∠A=65°(Vertically opposite angle)
∠F=180-115(straight angle)
=65
∠F=∠D=65°(opp angles of a parallelogram are equal)
∠F=∠E=65°(alternate angle of ║gm)
∠E=∠C=65°(alternate interior angle of ║gm)
∠F+∠G+∠A=180°(sum of interior angle of Δ)
∠G=180-(∠A+∠F)====>180-130=50°
∠G+∠B+∠E=180°(straight angle)
∠B=180-(∠G+∠E)
=180-115
=65°
∠F=180-115(straight angle)
=65
∠F=∠D=65°(opp angles of a parallelogram are equal)
∠F=∠E=65°(alternate angle of ║gm)
∠E=∠C=65°(alternate interior angle of ║gm)
∠F+∠G+∠A=180°(sum of interior angle of Δ)
∠G=180-(∠A+∠F)====>180-130=50°
∠G+∠B+∠E=180°(straight angle)
∠B=180-(∠G+∠E)
=180-115
=65°
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