What is the value of f?
Understand the Problem
The question is asking for the value of the angle 'f' given that one of the angles is 39.3 degrees. Since these angles are supplementary, their sum must equal 180 degrees.
Answer
The value of \( f \) is \( 140.7^\circ \).
Answer for screen readers
The value of ( f ) is ( 140.7^\circ ).
Steps to Solve
-
Understanding Supplementary Angles
Since the angles are supplementary, their sum must equal $180^\circ$. -
Setting Up the Equation
Let the angle we are trying to find be ( f ). According to the problem:
$$ f + 39.3^\circ = 180^\circ $$ -
Solving for ( f )
To find the value of ( f ), subtract $39.3^\circ$ from both sides of the equation:
$$ f = 180^\circ - 39.3^\circ $$ -
Calculating the Answer
Now calculate the subtraction:
$$ f = 180^\circ - 39.3^\circ = 140.7^\circ $$
The value of ( f ) is ( 140.7^\circ ).
More Information
Angles that are supplementary add up to 180 degrees. This principle is widely used in geometry.
Tips
- Forgetting that supplementary angles sum to 180 degrees.
- Misplacing the angle measures during calculations.
