Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees by using congruence of triangles.
Two triangles are congruent if their corresponding sides are the same length and their corresponding angles are the same size.
According to the SAS criterion for triangle congruence, two triangles are congruent if they have two pairs of congruent sides and the included angle (the one between the congruent sides) in one triangle is congruent to the included angle in the other triangle.
Given
See the attachment for the triangle.
What evidence do you have?
SAS is used by STU and VTU.
To demonstrate their resemblance, we must examine the corresponding sides and angles of both triangles.
To begin, UST must equal UVT.
As a result, UST=UVT=98⁰.
Then, UV must equal US.
So:
UV = US = 14⁰
Furthermore, ST must equal VT.
So:
Furthermore, ST must equal VT.
As a result, ST = VT = 200.
Finally, TUV must be equal to TUS.
So: TUV = TUS = 450
Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees.
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