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podryga [215]
3 years ago
10

Someone help me please

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

1) angle 1 is 55 degrees

2) angle 2 is 55 degrees

3) angle 3 is 70 degrees

4) angles 1 and 2 are vertical

Step-by-step explanation:

1) angle 1 = 180 - (85 + 40)

2) angle 2 has the same measure of angle 1

3) angle 3 is 180 - (55 + 55)

4) angles 1 and 2 are vertical and congruent

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In parallelogram LMNO, what are the values of x and y?
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In a parallelogram, if two opposites are congruent, then the two opposites are equal. We apply this description to solve the problem.
∠O = ∠M since they are opposite
2x = 3x - 55
55 = 3x - 2x
55 = x

Total of all angles in the parallelogram is 360°
∠L + ∠N +∠O +∠M=360°
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Solving for Y,
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Therefore, the value of "x" is 55 and the value of "y" is 14. The answer is the letter "C".
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