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Answer:
2x+3x+5x=180
10x=180
x=18
angle d =4x=72
angle c=5x=90
angle a=90
angle b=6x=108
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Answer:
in ∆ bdc
sum of all angles = 180°
b+d+c = 180
3x+2x+5x= 180
10x = 180
x= 180/10
x= 18°
so angles C = 5 x = 5×18 = 90°
in a parallelogram opposite angles are equal
therefore C = angle A = 90°
in a parallelogram sum of adjacent angles = 180
so
D+ C = 180
D + 90=180
D = 180-90=90°
in a ||gm opp angles are equal
so.
D = B = 90°
therefore
A= B = C = D = 90°
by this we also found that since all angles are of 90° in a parallelogram .....therefore it is a rectangle
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