86.7k views
4 votes
In the rectangle below,

In the rectangle below,-example-1
User Dave Zych
by
6.7k points

1 Answer

4 votes

Answer:

Explanation:

In a rectangle, diagonals are equal and bisect each other

BE = AE

6x - 5 = 2x + 7

6x - 2x - 5 = 7

4x - 5 = 7

4x = 7 + 5

4x = 12

x = 12/4

x = 3

AE = 2x + 7

= 2*3 + 7

= 6 + 7

AE = 13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

m∠ABE = 90 - 50

m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE { alternate interior angles}

m∠ECD = 40

User Jinelle
by
5.9k points
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