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kirill115 [55]
2 years ago
7

Convert the angle \theta=\dfrac{8\pi}{9}θ=

Mathematics
1 answer:
Olegator [25]2 years ago
8 0

Answer:

160°

Step-by-step explanation:

-Given the angle in radians as \theta=\dfrac{8\pi}{9}\ rad

-We know that  1 \ rad=\frac{180}{\pi}\textdegree

-Let our angle theta be X

#We therefore equate and cross multiply:

1\ rad=\frac{180}{\pi}\\\\\frac{8\pi}{9}=x\\\\\therefore X=\frac{180}{\pi}\times \frac{8\pi}{9}\\\\=160\textdegree

Hence, angle θ is 160°

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