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Instructions
In 4-6 sentences, describe how to find the value of x and the missing angle measure.

Use the following questions to help you write your response.

a. What information do you know?

b. What vocabulary words do you need to describe? What are those definitions?

c. Think about the process of setting up the equation to solve or the strategy to solve for the unknown value of x.

d. Describe how you would check your answer.

Answer 1

To find the value of \( x \) and the missing angle measure, start by identifying the known information, such as the relationship between the angles (e.g., supplementary, complementary, or angles in a triangle). Key vocabulary includes "supplementary" (angles that add up to 180 degrees) and "complementary" (angles that add up to 90 degrees).

Next, set up an equation using the known angle measures and the variable \( x \) representing the unknown angle. For instance, if you have complementary angles, you would write the equation \( x + \text{known angle} = 90 \). After solving for \( x \), you can find the missing angle measure by substituting \( x \) back into the equation or calculating directly with the known angle.

To check your answer, substitute the value of \( x \) back into the original equation to ensure that the left-hand side equals the right-hand side, confirming that the relationship holds true.