Answer: See explanation
Step-by-step explanation:
3.) 140 and its supplementary angle form a straight line, basically, they sum up to 180°. That angle is y
y + 140 = 180
Subtract both sides by 140
<em>y = 40°</em>
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Seems both angles are congruent since they have the same label.
y + x + x = 180°
40 + 2x = 180
Subtract both sides by 40
2x = 140
Divide both sides by 2
x = 70°
4.) The missing angle = y
2x - 14 + 3x + 2 + y = 180
5x - 12 + y = 180
Subtract 5x from both sides
-12 + y = - 5x + 180
Add 12 to both sides
y = -5x + 180 + 12
y = -5x + 192
3x + 2 + 2x - 14 - 5x + 192 = 180
3x + 2x - 5x + 2 - 14 + 192 = 180
0 + 180 = 180
<em>180 = 180</em>
That's correct I guess.
5.) Missing angle = y
2x + 8 + 5x + y = 180
7x + 8 + y = 180
Subtract 7x from both sides
8 + y = -7x + 180
Subtract 8 from both sides
y = -7x + 180 - 8
y = -7x + 172
2x + 8 + 5x - 7x + 172
2x + 5x - 7x + 8 + 172 = 180
0 + 180 = 180
<em>180 = 180</em>
I.. think that's correct..?
6.) Missing angle = y
134 + y = 180
Subtract 134 from both sides
<em>y = 46°</em>
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x + 46 + 22 = 180
x + 68 = 180
Subtract 68 from both sides
x = 112°
#4 and #5 were honestly sooo confusing. I just did whatever but I hope this is correct lol.
