An animal shelter has 36 pets available for adoption. ¼ of them are puppies. How many are puppies?
2 answers:
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General Idea:
The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
Applying the concept:
Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.
Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.
First you need to simplify the left side of the equation to get 
Then you add by two on both sides to get
Finally you divide by 2 on both sides to get
Then you add by two on both sides to get
Finally you divide by 2 on both sides to get