## 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.)

1. anonymous

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

would it be 3 π?

3. anonymous

I don't really understand

4. anonymous

Can't be. The sum of all three angles has to be $$\pi$$.

5. anonymous

$\pi - \frac{ \pi }{ 2 } - \frac{ \pi }{ 5 } = ?$

6. anonymous

What would the top answer be?

7. anonymous

You tell me. Remember, in order to subtract fractions, they must have the same denominator. What's the LCD here?

8. anonymous

Would the answer be 3 π/10?

9. anonymous

Correct. Very good!

10. anonymous

Thank you!

11. anonymous

You're welcome.