in a parallelogram ABCD if angle A is equal to 3 X + 12 degree angle b is equal to 2 x minus 32 degree then find value of x and then find measure of angle C and angle d
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Answer:
Angle A=angle c
Angle b = angle d..... Opposite angles
Of a
parallelogaram
Angle a +angle b=180 ....... Adjacent
angle
are supplementary
3x+12+2x-32=180
5x-20=180
5x=180+20
5x=200
x=200/5
x=40
Angle a =angle c
3x+12
3×40+12
120+12
132
Angle b =angle d
2x-32
2×40-32
80-32
48
Therefore
x = 40
Angle c=132
Angle d=48
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