Question

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

Answer 1

a) true
b)false
c)true
d)false

Answer 2

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!