Question

A triangle has interior angles measuring 40° and 52°.

Which triangles are similar to this triangle?

Select True or False for each triangle

Triangle True False

triangle with interior angles measuring 52° and 92°

triangle with interior angles measuring 40° and 92°

triangle with interior angles measuring 52° and 88°

triangle with interior angles measuring 40° and 88°

Answer 1

First find the third measure of the triangle.

40 + 52 + x = 180
92 + x = 180
x = 88

Since we know the all three angle measures, we can find the similar triangle by looking at their angle measures.

If the the angle measures are congruent then the triangles are similar.

So the answers are:

Triangle with the interior angles measuring 52° and 88°
Triangle with interior angles measuring 40° and 88°

Hope this helps :)