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Answer:B *54 degrees*
Step-by-step explanation:
2x-10 + 1/2x + 20 = 180
add up like terms
2.5x + 10 = 180
subtract 10 from both sides
2.5x = 170
divide by 2.5 on both sides
x = 68
now plug in x to the (2x-10) expression [which will get you 126 degrees]
then subtract 180 - 126 to fine angle y. which should get you *54 degrees*
Answer:
y=54°
Step-by-step explanation:
Since they are parallel we can make a equation, instead of having to work with two variables we can work with one, y is on the same side as (½x+20)°, they would equal the same amount.
So here is our equation
(2x-10)+(½x+20)°=180°
we get the 180° because it is a straight angle.
Now we can solve
(2x-10)+(½x+20)°=180°
2½x+10=180°
-10 -10
2½x=170°
÷2½ ÷2½x
x=68°
Since we said y = (½x+20) and x is 68, we can solve for y
half of 68 is 34+20=54°
y=54°