Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:
5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25
After we have gotten the value of x we can plug it in into the equation of angle AEB:
5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115
The measurement of angle AEB is 115
Hope it helped!, have a great day.
Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
Answer:
.83
Step-by-step explanation:
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3w-13w=-20
Combine like terms
-10w=-20
divide both sides by -10
w=2