Question

Stephen wants to use the Angle Angle Similairity Theorem to determine if the street between the park and bus stop is parallel to the street between his friend's house and the grocery store. He knows the angle between the bus stop, the park, and his home. Which other angle does he need to know?

Answer 1

The angle between his home, his friends house and grocery store

Explanation:

The given angle are;

The angle between the bus stop, the park and his home

The Angle Angle Similarity Theorem can be used to determine if the streets are parallel by verifying if there are congruent corresponding angles on the streets between his friends house and the grocery store and the street between the park and the bus stop

Therefore, the angle he needs to know is the angle between his home, his friends house and grocery store which are same side interior angles and they should sum to 180° to give the angle between the road and the other side of his friend's house