Angles 2 and 6 are corresponding angles, which would explain why they are congruent if lines a and b are parallel, but there is nothing in the problem to explain that any of the angles equals 60 degrees since no measurements were given in the diagram.
Answer:
Looks like all of your questions have been answered.
Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.
Let the lowest score be x.
<u>The 3 consecutive even scores are:</u>
1st score = x
2nd score = x + 2
3rd score = x + 4
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<u>Sum of their score is 270:</u>
x + (x + 2) + (x + 4) = 270
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<u>Solve x:</u>
x + (x + 2) + (x + 4) = 270
x + x + 2 + x + 4 = 270
3x + 6 = 270
3x = 264
x = 88
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<u>Find their scores:</u>
1st score = x = 88
2nd score = x + 2 = 88 + 2 = 90
3rd score = x + 4 = 88 + 4 = 92
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Answer: The scores are 88, 90 and 92
