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alukav5142 [94]
3 years ago
15

Find the unknown angle: R? 17 330 30 S

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

R=145^o

Step-by-step explanation:

<u>Label the triangle (Best for organization)</u>

Longest side of the triangle is called the Hypotenuse, or Hyp.

Shortest side of the triangle is called the Opposite, or Opp.

Last side of the triangle is called the Adjacent, or Adj.

<u>Formula</u>

sin x*=\frac{Opp}{Hyp}

<u>Find the inverse (value for "?")</u>

sin x*=17/30

x*=sin^{-1}(\frac{17}{30} )

34.5*-->35*

?=35*

<u>Triangle interior angles amount in 180 degrees</u>

180-(35+33)=112*

<u>Exterior angle equals the two opposite interior angles (aka/ defined as the Exterior Angle Theorem)</u>

R=33*+112*

R=145*

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