Respuesta :

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for β

β = 180° - (90 + 50)° = 180° - 140° = 40°

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tan50° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{b}[/tex]

Multiply both sides by b

b × tan50° = 10 ( divide both sides by tan50° )

b = [tex]\frac{10}{tan50}[/tex] ≈ 8.39 ( to 2 dec. places )

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sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{c}[/tex]

Multiply both sides by c

c × sin50° = 10 ( divide both sides by sin50° )

c = [tex]\frac{10}{sin50}[/tex] ≈ 13.05 ( to 2 dec. places )

Answer:

<b=40        

Step-by-step explanation:

<b=180-(90+50)    - (sum of all the angles of a triangle is 180)

=180-140

<b=40

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