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In the figure below, k || l and m || n. Find the values of y and x.

In the figure below, k || l and m || n. Find the values of y and x.-example-1
User Sbrattla
by
5.5k points

1 Answer

10 votes

Answer:

x = 30

y = 115

Explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30

User Jakob Buron
by
5.7k points
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