PSAT Math : How to find the angle of two lines
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Example Question #1 : How To Find The Angle Of Two Lines
Refer to the above figure. You are given that 
I)
II) 
III) 
I and II only
I, II, and III
I and III only
None of these
II and III only
I and III only
If 
then, by the converse of the Pythagorean Theorem, 
If 
The correct response is Statement I and III only.
Example Question #2 : How To Find The Angle Of Two Lines
Note:
Refer to the above diagram. 
Two angles formed by a transversal line crossing two other lines are corresponding angles if, relative to the points of intersection, they are in the same position. 
Example Question #1 : How To Find The Angle Of Two Lines
Refer to the above diagram. 
Two angles formed by a transversal line crossing two other lines are alternate interior angles if:
I) Both angles have their interiors between the lines crossed
II) The angles have their interiors on the opposite sides of the transversal.
Of the given choices, only 
Example Question #2 : How To Find The Angle Of Two Lines
Refer to the above diagram.
Two angles are vertical angles if they share a vertex, anf if their union is a pair of intersecting lines. Of the five choices, only 
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