The ratio of two adjacent angles of a parallelogram is 5 : 7. Find all the angles ofthe parallelogram.
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Answer:
75,75,105,105
Step-by-step explanation:
ratio= 5:7
since base angles of a polygon add up to 180,
we get:
5x + 7x= 180 degrees
12x= 180 degrees
x= 180/12
x= 15
7x= 7*15= 105 degrees
5x= 5*15= 75 degrees
since opposite angles in a parallelogram are equal,
all the angles are 75,75,105,105 degrees
for verification 75+75+105+105= 360 degrees (ASP of quadrilaterals= 360 degrees)
this is the correct way to solve and hope that it helped you :D
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