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Megan drew two angles. The measure of the smaller angle is 1313^\circ less than the measure of the bigger angle. The measure of the smaller angle is 7979^\circ. \newlineLet bb represent the measure of the bigger angle. Which equation models the problem?\newlineChoices:\newline(A) b13=79b - 13 = 79\newline(B) 13+b=7913 + b = 79\newlineSolve this equation to find the measure of the bigger angle.\newline____^\circ

Full solution

Q. Megan drew two angles. The measure of the smaller angle is 1313^\circ less than the measure of the bigger angle. The measure of the smaller angle is 7979^\circ. \newlineLet bb represent the measure of the bigger angle. Which equation models the problem?\newlineChoices:\newline(A) b13=79b - 13 = 79\newline(B) 13+b=7913 + b = 79\newlineSolve this equation to find the measure of the bigger angle.\newline____^\circ
  1. Understand relationship between angles: Step 11: Understand the relationship between the angles. The smaller angle is 1313^\circ less than the bigger angle, and it measures 7979^\circ. So, the equation should show the bigger angle minus 1313 equals the smaller angle.
  2. Identify correct equation: Step 22: Identify the correct equation from the choices. The correct equation that models this relationship is (A)b13=79(A) b - 13 = 79, because it correctly shows the bigger angle minus 1313 equals the smaller angle.
  3. Solve equation: Step 33: Solve the equation b13=79b - 13 = 79. Add 1313 to both sides to isolate bb: b13+13=79+13b - 13 + 13 = 79 + 13, which simplifies to b=92b = 92.

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