Find the Supplement (5pi)/6

Problem

(5*π)/6

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−(5*π)/6

3. Find a common denominator to perform the subtraction. Since the given angle has a denominator of 6 rewrite π as (6*π)/6

S=(6*π)/6−(5*π)/6

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

S=π/6

Final Answer

π−(5*π)/6=π/6

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