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

Question

4 years ago

9

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

ch 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

Mathematics

2 answers:

rodikova [14] · Answer 1 · 2021-11-27T16:34:38+03:00

rodikova [14]4 years ago

5 0

A) true
b)false
c)true
d)false<span />

morpeh [17] · Answer 2 · 2021-11-27T15:25:14+03:00

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.

<span>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 - </span>false

Hope this helps!