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Given f=3 and g=10, find the measure of the indicated angle. m/_phi= (Round your answer to the nearest one decimal place. Do NOT put ad Type your answer...

Given f=3 f=3 and g=10 g=10 , find the measure of the indicated angle.\newlinem∠ϕ= m \angle \phi= \newline(Round your answer to the nearest one decimal place. Do NOT put ad\newlineType your answer...

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Q. Given f=3 f=3 and g=10 g=10 , find the measure of the indicated angle.\newlinem∠ϕ= m \angle \phi= \newline(Round your answer to the nearest one decimal place. Do NOT put ad\newlineType your answer...
  1. Use formula for angle: Use the formula for the measure of an angle in a circle: m/ϕ=(fg)×360∘m/_{\phi} = (\frac{f}{g}) \times 360^\circ.
  2. Plug in values: Plug in the values of ff and gg: m/ϕ=(310)×360°m/\phi = (\frac{3}{10}) \times 360°.
  3. Calculate fraction: Calculate the fraction: mϕ=0.3×360°\frac{m}{\phi} = 0.3 \times 360°.
  4. Multiply to find measure: Multiply to find the measure: m/ϕ=108∘m/_{\phi} = 108^\circ.
  5. Round to nearest decimal: Round the answer to the nearest one decimal place: m/ϕ=108.0∘m/_{\phi} = 108.0^\circ.

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