a triangle has interior angles measuring 36° and 112° which triangles are similar to this triangle select true or false for each triangle

Answer:Triangle with interior angles measuring 36° and 32°Triangle with interior angles measuring 32° and 112°Step-by-step explanation:we know thatIf two triangles are similar, then its corresponding angles are congruentIf two triangles have two equal internal angles, then the triangles are similar by AA Similarity Postulatestep 1Calculate the measure of the third internal angleRemember that the sum of the internal angles of a triangle must be equal to 180 degreessoLetx------> the measure of the third internal angle[tex]x\°+36\°+112\°=180\°\\ \\x=180\°-148\°\\ \\x=32\°[/tex]step 2Verify each trianglecase A) Triangle with interior angles measuring 36° and 32°Is true -----> by AA Similarity Postulatecase B) Triangle with interior angles measuring 36° and 148°Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degreescase C) Triangle with interior angles measuring 32° and 112°Is true -----> by AA Similarity Postulatecase D) Triangle with interior angles measuring 112° and 148°Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees