Solve for x and Y using the angles shown, please helppp
2 answers:
Answer:
<h2>x = 6, y = 24</h2>
Step-by-step explanation:
We have the vertical angles and supplementary angles.
Vertical angles are congruent. Therefore we have the equation:
Supplementary angles add up to 180°. Therefore we have the equation:
Solve (2):
Put the value of x to (1) and sole:
Answer:
x = 6
y = 24
Step-by-step explanation:
(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°
(14x + 4) + (16x - 4) = 180
30x = 180
x = 6
Then you plug in 6 to (14x + 4)
(14(6) + 4) = 84 + 4 = 88
180 - 88 = 92
Now subtract 92 from 180 and make it equal to (4y - 8) to get y.
(4y - 8) = 180 - 92 ---> (4y - 8) = 88
+ 8 + 8
4y = 96
y = 24
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