Question

The ratio of two adjacent angles of a parallelogram is 5 : 7. Find all the angles ofthe parallelogram.​

Answer 1

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