if the opposite angles of a parallelogram are (7r-6)° and (5r+6)° then find all the angles of the parallelogram
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Step-by-step explanation:
opp angles are equal in a parallelogram = (7r -6)° and (5r +6)°
7r -6 = 5r +6
7r - 5r = 6 + 6
2r = 12
r = 12/2
r = 6
7r - 6 = 7×6 - 6
= 36
5r + 6 = 5×6+6
= 36
Sum of 2 angles = 72
Total sum of angles in a parallelogram = 360
360−72=288
288/2=144 ( other two angles)
Therefore angles are 36, 144 , 36 & 144.
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