Question

What is two angles measuring
`\pi /8` and
`7\pi/8` radians?

Answer 1

From plato:

Supplementary because they add up to 180 degrees or pi radians.

Answer 2

Answers:
__________________________________
Question 1) "22.5° " .
_________________________________
Question 2) "157.5° " .
__________________________________
Note of interest: "22.5° + 157.5° = 180° " .
_____________________________________
Step-by-step explanation:
_____________________________________
To convert from "radians" to "degrees" , we multiply the:

"value in radians" by "180/
`\pi`"
______________________________________________
Question 1) (π/8) * (180/π) = ?

Both of the "π" values cancel out to "1" {since "π/π = 1" } ;

and the "180" changes to "45" ; and the "8" changes to "2" ;

→ since "(180/8)" = "(180÷4) / (8÷4) = 45/2 ;

→ So we have: "45/2" ;

→" 45/2 = 45/ 2 = 22.5 degrees.

The answer is: 22.5° .
___________________________________________________
Question 2) Convert " (7π /8)" to degrees .

Note: "(7π /8)" = 7 * (π/8) " .

We know that "(π/8)" in degrees is: 22.5° (from question #1).

Multiply this value by "7", to get the answer.

22.5° (7) = 157.5° .

The answer is: 157.5° .

Isn't math fun, sometimes??
_____________________________________________