Can someone show me how to solve this?The measure of an angle is 20 less than 3 times its supplement. Find the measure of the angle.
Let M be the measure of the angle.
M+20=3(180-M)
solve for M.
To solve this equation, we need to simplify and isolate the variable M. Here's the step-by-step process:
Step 1: Start with the given equation: M + 20 = 3(180 - M).
Step 2: Distribute 3 to both terms inside the parentheses: M + 20 = 540 - 3M.
Step 3: Combine like terms by adding 3M to both sides of the equation: M + 3M + 20 = 540 - 3M + 3M.
Simplifying, this becomes: 4M + 20 = 540.
Step 4: Subtract 20 from both sides to isolate the term with M: 4M + 20 - 20 = 540 - 20.
Simplifying further: 4M = 520.
Step 5: Divide both sides of the equation by 4 to solve for M: (4M)/4 = 520/4.
This simplifies to: M = 130.
Therefore, the measure of the angle is 130 degrees.