The example I found of congruent obtuse angles is a roof truss. This is the ordinary model of a typical roof truss. Roof trusses are made of wood and are used in homes! One time my family and I went to build homes for the homeless. I could not believe the amount of geometry that takes place in the architectrual design of a home. The angles shown here in red is an obtuse angle which is congruent to the green angle. These obtuse angles are congruent because first their measures are greater than 90 degrees and they have the same angle measures. If the angles didnt have the same measures then the roof tress would fall down. I can tell you that from personal expierence! Roof trusses are very important in the structure of houses. They add a slick design to the house that no other object can offer. Roof trusses really hold the top of the house together that is thier man purpose. Almost every human being in the world uses roof trusses!
The site where i found this photo is https://www.google.com/search?q=roof+truss+construction&client=safari&hl=en&biw=1024&bih=672&tbm=isch&tbs=simg:CAQSUQm_1XOwkQTPgLRo9CxCwjKcIGjQKMggBEgztB-4H8Qf8B-8H_1wcaIOsnN3b6yWdWmC13h1RkpY-c8KBpGbSKXcwIYEe1Jwp1DCFDX24zs_1UKLQ
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