Find the Supplement (3pi)/8

Problem

(3*π)/8

Solution

1. Identify the definition of supplementary angles. Two angles are supplementary if their sum is π radians (or 180.

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

S=π−(3*π)/8

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

S=(8*π)/8−(3*π)/8

4. Subtract the numerators while keeping the common denominator.

S=(8*π−3*π)/8

S=(5*π)/8

Final Answer

Supplement of (3*π)/8=(5*π)/8

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