Answer:
4. f = 78, g= 7/2
5. m=4, n=5
6. k = 2, j=9/2
Step-by-step explanation:
4. consecutive angles of parallelogram are supplementary so,
f + 30 + 72 = 180
f = 180 -72-30
f = 78
opposite sides are equal so,
8g - 3 = 25
8g = 28
g = 28/8 0r 7/2
5. diagonals of parallelogram bisect each other, meaning they are equal, so
m + 8 = 3m 2n-1=9
2m=8 2n=10
m= 4 n=5
6. 6k = k + 10 5j-9=3j
5k = 10 2j=9
k = 2 j=9/2
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Answers & Comments
Answer:
4. f = 78, g= 7/2
5. m=4, n=5
6. k = 2, j=9/2
Step-by-step explanation:
4. consecutive angles of parallelogram are supplementary so,
f + 30 + 72 = 180
f = 180 -72-30
f = 78
opposite sides are equal so,
8g - 3 = 25
8g = 28
g = 28/8 0r 7/2
5. diagonals of parallelogram bisect each other, meaning they are equal, so
m + 8 = 3m 2n-1=9
2m=8 2n=10
m= 4 n=5
6. 6k = k + 10 5j-9=3j
5k = 10 2j=9
k = 2 j=9/2