Answer :
Final answer:
In this problem, you set up and solve a basic algebraic equation based on the relationship between angles in a straight line. In this case, if angle GAF is twice the measure of angle DAG, and you represent DAG as 'x', then GAF becomes '2x'. The sum of these angles is 180 degrees. Solving the equation, x + 2x = 180, gives the measure of DAG as 60 degrees.
Explanation:
In your question, you need to find the value of 'x' where angle GAF is twice that of angle DAG.
This is a geometry problem and involves understanding of angle relationships, specifically how to set up an equation to solve for a variable that represents an angle's measure. According to the given problem, the value of angle GAF is twice the value of angle DAG, so let's represent the angle DAG as 'x'.
Therefore, the measure of angle GAF will be '2x'.
Now the total measure of angles in a straight line (known as a straight angle) is 180 degrees. So, if you add the measure of angle GAF and angle DAG, it should be equal to 180 degrees.
Here's our equation based on that relationship: x (DAG) + 2x (GAF) = 180.
Combine like terms: 3x = 180.
Then, divide both sides by 3 to solve for 'x': x = 180 / 3.
So, x = 60 degrees.
Learn more about Angle Relationships here:
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