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anonymous

  • one year ago

Two angles in a triangle have radian measure π/2 and π/5. What is the radian measure of the third angle? (Express your answer in terms of π.)

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  1. anonymous
    • one year ago
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    The sum of the three angles in any triangle is \(\pi\) radians (180 deg). So, subtract the two given angles from \(\pi\) and what's left is the measure of the third angle.

  2. anonymous
    • one year ago
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    would it be 3 π?

  3. anonymous
    • one year ago
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    I don't really understand

  4. anonymous
    • one year ago
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    Can't be. The sum of all three angles has to be \(\pi\).

  5. anonymous
    • one year ago
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    \[\pi - \frac{ \pi }{ 2 } - \frac{ \pi }{ 5 } = ?\]

  6. anonymous
    • one year ago
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    What would the top answer be?

  7. anonymous
    • one year ago
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    You tell me. Remember, in order to subtract fractions, they must have the same denominator. What's the LCD here?

  8. anonymous
    • one year ago
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    Would the answer be 3 π/10?

  9. anonymous
    • one year ago
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    Correct. Very good!

  10. anonymous
    • one year ago
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    Thank you!

  11. anonymous
    • one year ago
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    You're welcome.

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