Find the Supplement (7pi)/8

Problem

(7*π)/8

Solution

1. Identify the definition of supplementary angles in radians. Two angles are supplementary if their sum is π radians.

2. Set up the equation to find the unknown supplement S by subtracting the given angle from π

S=π−(7*π)/8

3. Find a common denominator to perform the subtraction. Since the denominator of the given angle is 8 write π as (8*π)/8

S=(8*π)/8−(7*π)/8

4. Subtract the numerators while keeping the denominator the same.

S=(8*π−7*π)/8

S=π/8

Final Answer

π−(7*π)/8=π/8

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