Triangle ABC has interior angles that measure x°, 58°, and 70° .

Triangle DEF has interior angles that measure y°, 70°, and 49°.

Using this information, which statement is true?

The triangles are similar because they each have an interior angle with measure 70°.

The two triangles are similar because 70+58+x=180 means x =50° and 70+49+y=180 means y = 50°

The two triangles are not similar because 70+58+x=180 means x =52° and 70+49+y=180 means y = 61°

The two triangles are similar because y = 90°.

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

Now, solve for y ~

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

» Let's solve for value of values of x and y

⛥Solve for :

⛥Solve for :

The two triangles are not similar because

70 +58 + x = 180 means x = 52°

70 + 49 + y = 180° means y = 61°

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.