ANSWERS: 1
  • Angles that are linear pairs are supplementary; their measures total 180 degrees. Let a = the measure of angle 1 Let b = the measure of angle 2 Since the angles are supplementary, we know that a + b = 180. The rest of the problem tells us that a = 4b - 5. This gives us two independent equations using the same two variables, which is all we need to solve for them. 4b - 5 = 180 - b 5b = 185 b = 37 a + b = 180 a + 37 = 180 a = 143

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