Question

Can someone help me this answer?
this is geometry.

Answer 1

Answer: Neither

Step-by-step explanation

Let's solve for angle C.

A+B+C = 180

38+59+C = 180

97+C = 180

C = 180-97

C = 83

Triangle ABC has the angles of:

A = 38

B = 59

C = 83

None of those angles are 90 degrees, so we can rule out triangle QRS as this triangle does have 90 degrees. Recall that similar triangles must have matching congruent angles. For more information, search out "angle angle similarity theorem".

Let's determine the missing angle of triangle TUV

T+U+V = 180

41 + U + 39 = 180

U = 180-41-39

U = 100

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Triangles ABC and TUV have these angles

`\begin{array}c\cline{1-2}A = 38^(\circ) & T = 41^(\circ)\\B = 59^(\circ) & U = 100^(\circ)\\C = 83^(\circ) & V = 39^(\circ)\\\cline{1-2}\end{array}`

None of the angles match up, which allows us to rule out triangle TUV as well.

Neither triangle is similar to triangle ABC.