Respuesta :
I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct
Supposing that these two angles are opposite by the same vertex S, and solving the equations, it is found that the measure of angle RSL is of 144º.
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- Supposing that these two angles are opposite by the same vertex S, we will have that:
[tex]RSL = BSA[/tex]
We have that:
- [tex]RSL = 9x + 27[/tex]
- [tex]BSA = 6x + 66[/tex]
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Applying the equality, we find x, thus:
[tex]RSL = BSA[/tex]
[tex]9x + 27 = 6x + 66[/tex]
[tex]9x - 6x = 66 - 27[/tex]
[tex]3x = 39[/tex]
[tex]x = \frac{39}{3}[/tex]
[tex]x = 13[/tex]
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With x, it is possible to find the measure of angle RSL.
[tex]RSL = 9x + 27 = 9(13) + 27 = 117 + 27 = 144[/tex]
Thus, the measure of angle RSL is of 144º.
A similar problem is given at https://brainly.com/question/7352376
