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Find the measure of the missing angles.

Find the measure of the missing angles.-example-1
User Preetie
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1 Answer

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Step 1) Identify the clues/properties provided in the question

By observing the diagram provided, we can tell that:

  • Statement 1: ∠B = ∠C (Vertically opposite angles)
  • Statement 2: The sum of ∠C and the measure of the adjacent angle (43°) is 180° because those angles form a straight line.

Step-2) Create equations based on the properties identified

When converting the verbal equation into a numerical/linear equation of the second statement, we have ∠C + 43° = 180°

From the previous step, we also had: ∠B = ∠C

Step-3) Solve the equations and find the measure of the angles

⇒ ∠C + 43° - 43 = 180° - 43

∠C = 180° - 43 = 137°

Therefore, ∠B = 137° because of the equation: ∠B = ∠C

User FranklinA
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