Question

1) opposite side of parallelogram are (5x-3) and (2x +15)find all angles of parallelogram .

plzzz answer me fast .....

Answer 1

opposite sides of a parallelogram are congruent
hence,
5x-3=2x+15
5x-2x=15+3
3x=18
x=18÷3
x=6
5x-3=5×6-3=30-3=27
2x+15=2×6+15=12+15=27
sum of measures of all angles of a parallelogram is 360
hence 27+27+x+x=360
54+2x=360
2x=306
x=253
sum of remaining angles is 253
sum of each angle=253÷2=126.5
sum of all angles=27. 27. 126.5. 126.5