a) n° + n°+ 42 = 180°
2n + 42 = 180
2n = 180 – 42
2n = 138
n = 138 /2
n° = 69°
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b) ( x+10) + x + ( x+5 ) = 180
x + 10 + x + x + 5 =180
3x + 15 =180
3x =180 – 15
3x = 165
x = 165 /3
x° = 55°
_____o___o___
c) 3q + q + q = 180
5q =180
q = 180/5
q=36°
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d) m + 2m + ( m+10) = 180
m+2m+m+10=180
4m + 10=180
4m = 180 – 10
4m = 170
m=170 / 4
m = 42.5°
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e) y + (y – 30 ) + 90° = 180°
y + y – 30 + 90 = 180
2y + 60 = 180
2y = 180 – 60
2y = 120
y = 120/2
y = 60°
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f) ( t + 10.5 ) + 2t + 90 = 180
t + 10.5 + 2t +90=180
3t + 100.5 = 180
3t = 180 – 100.5
3t = 79.5
t = 79.5/3
t =26.5°
I hope I helped you^_^
Answer:
a = 98
b = 82
c = 58
d = 122
Step-by-step explanation:
Ok so I tried to find b first since that was the easiest.
The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.
180-98=b
82=b
I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98
C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)
And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.
d+58=180
d=122
Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well
65 miles per hour means that for each hour, it goes 65 miles
65 miles*2 hours= 130 miles
Final answer: 130 miles
