Question

( 69 POINTS!!! ANSWER PLEASE!!! , WILL MARK AS BRAINLIEST IF U GIVE AN EXPLANTION AND NOT LIKE JUST THE ANSWER =.= )

△ABC has interior angles with measures x°, 90°, and 65°, and △DEF has interior angles with measures y°, 65°, and 20°.

Using the given information, which statement is true?


The two triangles are similar because y=90 .

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The triangles are similar because they each have an interior angle with measure 65°.

The two triangles are not similar because x≠20 and there cannot be three congruent interior angels.

Answer 1

Okay so process of elimination. The first option isn't correct because the sum of the interior angles for any triangle is always 180 degrees. x would be 25 degrees  for ABC because 90+65=155 and 180-155=25. Y would be 95 degrees for DEF because 65+20=85 and 180-85=95, so y does not equal 90 degrees. For B, No side lengths are given. C is also not the correct answer so the answer is D. I can link you to another brainly post that has the same question or a similar with an explanation on determining the answer if you'd like :)

Answer 2

I hope this might help!

We know that the triangles are not similar. If they were, they would have the same angles. The interior angles are not congruent. We can rule out choice "B" and "C". Just because they have one equal angle does not make them similar. We can rule out "D".

"A" is the best answer.