Question

Select from the drop-down menu to correctly complete the statement.There is enough information to conclude that the two triangles are Choose... similar or not similar if x = 48.

Answer 1

not similar

Step-by-step explanation:

Two triangles are similar if their interior angles are the same. For the greater triangle, we know that one angle is 90° and the other is 40°. Since the sum of the interior angles of a triangle is always 180°, we can calculate the measure of the third angle as:

180 - 90 - 40 = 50°

Therefore, the three angles of the greater triangle are 90°, 40°, and 50°.

If x - 48°, the angles of the smaller triangle will be 90° and 48°.

Since 48 is different from 40 and 50, the triangles are not similar.

So, the answer is:

There is enough information to conclude that the two triangles are not similar if x = 48°