292,446 views
39 votes
39 votes
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 Gwildu
by
3.3k points

2 Answers

6 votes
6 votes

Answer: the answer is the answer is purr periosd

Explanation:

User Jasonmclose
by
3.0k points
22 votes
22 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 Afshin Mehrabani
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.