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In square ABCD, diagonals AC and DB intersect at point E, m∠EBC=(3x+9y)°, and m∠EAB=(5x+5y)°.

What are the values of x and y?

In square ABCD, diagonals AC and DB intersect at point E, m∠EBC=(3x+9y)°, and m∠EAB-example-1
User Takrishna
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2 Answers

10 votes

Answer: the answer is the answer is purr periosd

Explanation:

User Vality
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12 votes

Answer:

Explanation:

m∠EBC = 45°

3x + 9y = 45

Divide the entire equation by 3

x + 3y = 15 --------------------(I)

m∠EAB = 45

5x + 5y = 45

Divide the entire equation by 5

x +y = 9 -------------(II)

Multiply equation (II) by (-1)

(I) x + 3y = 15

(II)*(-1) - x - y = -9 {Now add}

2y = 6

y = 6/2

y = 3

Plugin y = 3 in equation (I)

x + 3*3 = 15

x + 9 = 15

x = 15 - 9

x = 6

User Timemanx
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