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Rosalinda examined the angles at right and wrote the equation below.

  1. Does her equation make sense? If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.

  • Is a right angle (as illustrated above), equal to 90°?

    Yes. This means Rosalinda's equation makes sense, because the two angles make up a 90° angle.

  1. If you have not already done so, solve her equation, clearly showing all your steps. What are the measures of the two angles?

  • Refer to the Math Notes box in Lesson 1.1.4 if you need help remembering how to solve a linear equation.

  1. Verify that your answer is correct.

  • After solving for x, substitute your answer into the original equation to verify it is correct.