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A triangle has interior angles measuring 36° and 112°. Which triangles are similar to this triangle? Select True or False for each triangle.

triangle with interior angles measuring 36° and 32°
triangle with interior angles measuring 36° and 148°
triangle with interior angles measuring 32° and 112°
triangle with interior angles measuring 112° and 148

Respuesta :

rajtrisha
a) true
b)false
c)true
d)false
nilbert
Hi there!

Since the interior measures of triangles added up always equals 180 degrees, the other interior angle of the triangle must be 32 degrees. 

180 - 112 - 36 = 32

So, any triangle with interior measures that measure any angles of 36, 112, and 32 degrees are similar.

triangle with interior angles measuring 36° and 32° - true
triangle with interior angles measuring 36° and 148° - false
triangle with interior angles measuring 32° and 112° - true
triangle with interior angles measuring 112° and 148 - false

Hope this helps!

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