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Need math help!! answer choices are 80 , 40, 20, and 60

Need math help!! answer choices are 80 , 40, 20, and 60-example-1
User Moiz
by
7.6k points

1 Answer

6 votes

Answer:

60

Explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40 +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

User Sparkette
by
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