Problem 1 :
Solve for z in the parallelogram below.
Problem 2 :
Solve for m in the parallelogram below.
Problem 3 :
Solve for n in the parallelogram below.
Problem 4 :
Solve for z in the parallelogram below.
Problem 5 :
Solve for k in the parallelogram below.
Problem 6 :
Solve for a in the parallelogram below.
Problem 7 :
Solve for m in the parallelogram below.
Problem 8 :
Solve for x in the parallelogram below.
Problem 9 :
Solve for z in the parallelogram below.
Problem 10 :
Solve for y in the parallelogram below.
Problem 11 :
Solve for n in the parallelogram below.
1. Answer :
Opposite angles in a parallelogram are equal.
(-z + 76)° = 77°
-z + 76 = 77
Subtract 76 from both sides.
-z = 1
Multiply both sides by -1.
z = -1
2. Answer :
Adjacent angles in a parallelogram are supplementary. That is, Adjacent angles in a parallelogram add up to 180°
(-5m + 39)° + 111° = 180°
-5m + 39 + 111 = 180
-5m + 140 = 180
Subtract 140 from both sides.
-5m = 40
Divide both sides by -5.
m = -8
3. Answer :
(n + 69)° = 68°
n + 69 = 68
Subtract 69 from both sides.
n = -1
4. Answer :
(z + 140)° + (4z + 70)° = 180°
z + 140 + 4z + 70 = 180
5z + 210 = 180
Subtract 210 from both sides.
5z = -30
Divide both sides by 5.
z = -6
5. Answer :
(7k + 48)° + (-4k + 138)° = 180°
7k + 48 + -4k + 138 = 180
3k + 186 = 180
Subtract 186 from both sides.
3k = -6
Divide both sides by 3.
z = -2
6. Answer :
(7a + 73)° = 45°
7a + 73 = 45
Subtract 73 from both sides.
7a = -28
Multiply both sides by 7.
a = -4
7. Answer :
(-m + 39)° = 40°
-m + 39 = 40
Subtract 39 from both sides.
-m = 1
Multiply both sides by -1.
m = -1
8. Answer :
(-x + 63)° = 69°
-x + 63 = 69
Subtract 63 from both sides.
-x = 6
Multiply both sides by -1.
x = -6
9. Answer :
(-7z + 45)° = 52°
-7z + 45 = 52
Subtract 45 from both sides.
-7z = 7
Divide both sides by -7.
z = -1
10. Answer :
(y + 74)° = 72°
y + 74 = 72
Subtract 74 from both sides.
y = -2
11. Answer :
(4n + 7)° = 43°
4n + 7 = 43
Subtract 7 from both sides.
4n = 36
Divide both sides by 4.
n = 9
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