Question

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.

Answer 1

Answer:

Triangles are similar using AAA rule of similarity.

Step-by-step explanation:

Let's take triangle ACD. Where <D =60 degrees. <A =74.9 degrees and let's find <C using angle sum property of a triangle.

Please remember the sum of interior angle of a triangle is 180 degrees.

So, m<D= 180-60-74.9 =45.1 degrees.

Other triangle RST has the two angles as 74.9 degrees and 45.1 degrees.

So, third angle <T= 180-74.9-45.1= 60 degrees.

If we see the angles of a triangle, both has same angle measures.

That's <A= <R

<C= <S

<D= <T

So, the triangles are similar using AAA rule of similarity.