Non-congruent alternate interior angles

This is a picture of a ladder. The two green lines are cut by the blue transversal. Since the two green lines are not parallel, the alternate interior angles are not congruent. Example of this are the yellow arched angle and the red arched angle. The red arched angle is obtuse and the yellow one is acute. Ladders can be found in most homes. Ladders are also used at construction sights and whenever anyone needs to reach something above their height. 

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Congruent obtuse angles

This is a picture of the side of a typical suburban house. The two angles created by the roof to the side of the house are congruent obtuse angles. Houses are one of the most common building in the country. Most people live in houses with their families. Everyone is brought up and raised in a house and live in one their whole life. 

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Segment bisectors

This is a picture of a football field. A football field is 100 yards long and it bisected by the 50 yard line. The 100 yard blue segment of the sideline has been bisected by the red segment across the field at midfield. Football is a very popular sport and there are football fields everywhere. There are a lot of football players who practice and play on these fields every day. 

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Skew lines

This is a picture of the Washington monument in Washington, D.C. The skew lines are the lines created by the side of the Washington monument and the side of the water. They are on two different planes and will never intersect. This monument is extremely popular and is in our nations capital. Tourist from every where in the world come to visit this monument. 

This picture was found at: thelittleinnontstreetdc.com 

Supplementary angles that are not a linear pair

This is a picture of the cabinets in my kitchen. The two right angles formed in each corner of the cabinet are a supplementary pair. Right angles' measures are 90 degrees and 90+90= 180 degrees and in order to be a supplementary pair the angles' measures have to add to 180 degrees, which these angle measures do.  They are not a linear pair since they are not ajacent and not forming a line. Cabinets are found in every building. They are used for storage of all kinds of items. They are used for storing dishes in my kitchen but can be used to store anything that will fit in them.  

Adjacent non-supplementary angles

This is a picture of a sliced up piece of pizza. The adjacent angles are creates by the slices and are the ones outlined in blue and green with the black segment as the included side. They are not supplementary since they do not form a straight line. Pizza is one of the most common foods in the US and is many people's favorite food. In almost every shopping center you can find a restaurant that serves pizza. Also every grocery store sells frozen pizzas. 

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Vertical angles

This is a picture of a railroad crossing sign. The two pieces of the sign cross over each other and create two pairs of vertical angles. The blue arched angles are one of the pairs of vertical angles. Railroad crossing signs are posted at every place a railroad meets a street driven on by cars. They are used at all railroad crossings so they are very common. 

This image was found at: bouldincreek.org