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35 votes
35 votes
In the triangle below, which equation can be used to solve for x?

In the triangle below, which equation can be used to solve for x?-example-1
In the triangle below, which equation can be used to solve for x?-example-1
In the triangle below, which equation can be used to solve for x?-example-2
User WildWezyr
by
2.8k points

1 Answer

10 votes
10 votes

Answer:

4th option

Explanation:

We require to find the 3rd angle in the triangle, that is

third angle = 180° - (75 + 50)° = 180° - 125° = 55°

Using the Sine rule in the triangle


(x)/(sin75) =
(13)/(sin55) ( cross- multiply )

x × sin55° = 13 × sin75° ( divide both sides by sin55° )

x =
(13sin75)/(sin55)

User Kums
by
3.4k points
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