Proofing Problems: Lines & Angles

Example
[img]data:image/png;base64,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[/img][br][math]AB[/math] intersects [math]CD[/math] at [math]O[/math] so that [math]\angle[/math]1is a right angle. Prove [math]\angle[/math]2 and [math]\angle[/math]3 are complementary.[br][br]Click 'Check My Answer" below for proofing guide using two-column proof method.
Q1
If two lines [math]AB[/math] and [math]CD[/math] intersect at point [math]E[/math], prove that [math]\angle AEC\cong\angle DEB[/math].
Q2
Given line [math]L\parallel M[/math] and a transversal [math]T[/math]. Prove that the alternate interior angles are congruent.
Q3
Given that [math]BD[/math] bisects [math]\angle ABC[/math], prove that [math]2\left(m\angle ABD\right)=m\angle ABC[/math].
Q4
If line [math]A\parallel B[/math] and line [math]C\bot A[/math], prove that [math]C\perp B[/math].
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Information: Proofing Problems: Lines & Angles