Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
<h3>
Answer: x = 44</h3>
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Work Shown:
The three interior angles of any triangle always add to 180
82+54+x = 180
136+x = 180
x = 180-136
x = 44
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Extra info:
If you need the value of y, then,
x+y = 180
y = 180-x
y = 180-44
y = 136
Or you could use the remote interior angle theorem to find y
y = 82+54
y = 136
The value of z is equal to y since these two angles are vertical angles.
Answer:
28
Step-by-step explanation:
50 - 22 = 28
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