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Answer :
The missing measures in triangle STU are given as follows:
ST = 9.
TU = 12.
m < S = 70º.
m < T = 46º.
m < R = 64º.
What are similar triangles?
Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.
Proportional side lengths.
For the angle measures, we have that:
Equivalent sides have the same angle measures.
The missing angle measure is of:
m ∠ R = (180 - 70 + 46)
= 64º.
By sum of the measures of the internal angles of a triangle is of 180º.
The proportional relationship for the side lengths of the triangle is given as follows:
6/14 = ST/21 = TU/28.
Then the length ST is given as follows:
14ST = 21 x 6
ST = 1.5 x 6
ST = 9.
The length TU is given as follows:
14TU = 28 x 6
TU = 2 x 6
TU = 12.
More can be learned about similar triangles at brainly.com/question/14285697
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