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Step-by-step explanation:
firstly draw the figure and construct a diagonal and divides the parllelogram into two triangle and we know that sum of three angle equal to 180degraa
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So first draw a parallelogram ABCD and the write the given information
You know that angleA and angleB are co-interior angles
So their sum will be 180°
So the equation formed will be angleA +angleB
3x+12+2x-32=180°
5x-20=180
5x=180+20
5x=200
x=200÷5
x=40°
Therfore angleA = 3x+12
= 3 × 40 +12
= 120+12
=132°
AngleB = 2x-32
=2×40-32
=80-32
=48°
Therfore angleC = 132° ( opposite angles)
Therfore angle D = 48° ( opposite angles)
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