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natali 33 [55]
3 years ago
9

Find the values of x and y in the diagram.

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

x = 3

y = 10

Step-by-step explanation:

In triangle KLN, measure of all angles are equal.

Therefore, it is an equilateral triangle.

All sides of an equilateral triangle are equal.

So,

y - 4 = 6

y = 6 + 4

y = 10

In triangle LMN, measures of angles M and N are equal, Therefore,

LM = LN

x + 3 = y - 4

x + 3 = 10 - 4

x + 3 = 6

x = 6 - 3

x = 3

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