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Triangle 
ABC is shown below with all three side lengths known.

Determine the missing angle measures using the Law of Cosines, Law of Sines, and other properties of triangles. NOTE: 
/_B is an obtuse angle. Please make sure to think about this when determining your answers. You might want to determine 
m/_A and 
m/_C first.
a. 
m/_A= degrees
Preview
b. 
m/_B= * degrees
Preview
c. 
m/_C= 
uarr degrees
Preview
This question allows you to use trig functions that evaluate for angle measures in degrees. To remind yourself how to evaluate trig functions for angle measures in degrees in this program, click here.
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Question 5. Points possible: 3
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- YouTube\newlineHome | Patreon\newlineNetflix\newlineWatch Korean Dra...\newlineHulu\newlineDashboard\newlineMail - Crawford, J...\newlineMy Home / Codec...\newlineMyStatus\newlineRational Reasonin...\newlineBirb | creating hell...\newlineTue Mar 2626 1111:5151 PM\newlineUnlimited attempts.\newlineScore on last attempt: 00 . Score in gradebook: 00\newlineMessage instructor about this question\newlineTriangle ABC A B C is shown below with all three side lengths known.\newlineDetermine the missing angle measures using the Law of Cosines, Law of Sines, and other properties of triangles. NOTE: B \angle B is an obtuse angle. Please make sure to think about this when determining your answers. You might want to determine mA m \angle A and mC m \angle C first.\newlinea. mA= m \angle A= degrees\newlinePreview\newlineb. mB= m \angle B= * degrees\newlinePreview\newlinec. mC= m \angle C= \uparrow degrees\newlinePreview\newlineThis question allows you to use trig functions that evaluate for angle measures in degrees. To remind yourself how to evaluate trig functions for angle measures in degrees in this program, click here.\newlineSubmit\newlineQuestion 55. Points possible: 33\newlineLicense\newlineUnlimited attempts.\newlineScore on last attempt: 00 . Score in gradebook: 00\newlineMeacace inatructor ahout thic anestion.

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Q. - YouTube\newlineHome | Patreon\newlineNetflix\newlineWatch Korean Dra...\newlineHulu\newlineDashboard\newlineMail - Crawford, J...\newlineMy Home / Codec...\newlineMyStatus\newlineRational Reasonin...\newlineBirb | creating hell...\newlineTue Mar 2626 1111:5151 PM\newlineUnlimited attempts.\newlineScore on last attempt: 00 . Score in gradebook: 00\newlineMessage instructor about this question\newlineTriangle ABC A B C is shown below with all three side lengths known.\newlineDetermine the missing angle measures using the Law of Cosines, Law of Sines, and other properties of triangles. NOTE: B \angle B is an obtuse angle. Please make sure to think about this when determining your answers. You might want to determine mA m \angle A and mC m \angle C first.\newlinea. mA= m \angle A= degrees\newlinePreview\newlineb. mB= m \angle B= * degrees\newlinePreview\newlinec. mC= m \angle C= \uparrow degrees\newlinePreview\newlineThis question allows you to use trig functions that evaluate for angle measures in degrees. To remind yourself how to evaluate trig functions for angle measures in degrees in this program, click here.\newlineSubmit\newlineQuestion 55. Points possible: 33\newlineLicense\newlineUnlimited attempts.\newlineScore on last attempt: 00 . Score in gradebook: 00\newlineMeacace inatructor ahout thic anestion.
  1. Define Triangle ABC: First, we need to know the lengths of the sides of triangle ABC. Since the problem statement does not provide the actual lengths, we will call them aa, bb, and cc, where aa is opposite angle AA, bb is opposite angle BB, and cc is opposite angle CC.
  2. Use Law of Cosines: We are told that angle B is obtuse, which means that m/B>90m/_{B} > 90 degrees. To find the measures of angles A and C, we can use the Law of Cosines. The Law of Cosines states that for any triangle with sides aa, bb, and cc, and angles AA, BB, and CC opposite those sides, respectively, the following is true: c2=a2+b22abcos(C)c^2 = a^2 + b^2 - 2ab\cos(C), and similarly for the other angles.
  3. Find Angle A: Without loss of generality, let's find the measure of angle A using the Law of Cosines. We rearrange the formula to solve for cos(A)\cos(A): cos(A)=b2+c2a22bc\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}.
  4. Find Angle C: Once we have cos(A)\cos(A), we can use the inverse cosine function to find the measure of angle AA. However, since we do not have the actual side lengths, we cannot perform this calculation. We need the specific values for aa, bb, and cc to proceed.
  5. Calculate Angle B: Similarly, we can find the measure of angle C using the Law of Cosines with the formula cos(C)=a2+b2c22ab\cos(C) = \frac{a^2 + b^2 - c^2}{2ab}. Again, we would need the actual side lengths to calculate this.
  6. Final Answer: After finding angles AA and CC, we can use the fact that the sum of angles in a triangle is 180180 degrees to find angle BB: m/B=180m/Am/Cm/_{B} = 180 - m/_{A} - m/_{C}.
  7. Final Answer: After finding angles AA and CC, we can use the fact that the sum of angles in a triangle is 180180 degrees to find angle BB: m/_B=180m/_Am/_Cm/\_B = 180 - m/\_A - m/\_C. Since we do not have the actual side lengths, we cannot calculate the specific measures of angles AA, BB, and CC. Therefore, we cannot provide the final answer values for m/_Am/\_A, m/_Bm/\_B, and CC00.

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