# Math Help - Two questions with angles and congruencies...

1. ## Two questions with angles and congruencies...

Given the information in the diagram, which congruency proves that AC = DE?

And...

The value of θ in the above diagram, to the nearest degree is

A. 67°
B. 134°
C. 46°
D. 113°

I've been stuck on these ones for a a bit...I don't know how to do them....

2. Im am not sure what you are asking but:
$\Delta BAC \cong \Delta DED$ by AAS.

$\Theta = 134^ \circ$ by the inscribed angle theorem.

3. Originally Posted by M23

Given the information in the diagram, which congruency proves that AC = DE?

I've been stuck on these ones for a a bit...I don't know how to do them....

Since AB=EB, $\angle{ABC}=\angle{DBE}$ (vertical angles), and $m\angle{x}=m\angle{x}$ (reflexive property of equality), then $\Delta{ABC}\cong\Delta{DBE}$ (AngleAngleSide).
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