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Find the value of x and y in the rhombus.

Find the value of x and y in the rhombus.-example-1
User James Bubb
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Check the picture below.

bearing in mind that in a rhombus, the diagonals make two equal triangles on either side.

Find the value of x and y in the rhombus.-example-1
User Bowditch
by
7.8k points
4 votes

Answer:

x = 10, y = 13

Explanation:

Because EYD is 70, then FEY is also 70. Both triangles are identical.

This means:

45 + 70 + 7x - 5 = 180

7x = 70

x = 10

EFY and EDY are identical and this means:

7x - 5 = 5y

7*10 - 5 = 5y

5y = 65

y = 13

User PMunch
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