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Finding an Unknown Angle Measure: 4th Grade Math Explained

Khan AcademyJune 30, 20251 min1,094 views
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Calculating Unknown Angle Measures

  • 💡 The problem involves finding the measure of an unknown angle, labeled as angle Z.
  • 🎯 This unknown angle is part of a larger angle that measures 150 degrees.
  • ➕ The larger angle is composed of angle Z and two other angles, each measuring 60 degrees.

Step-by-Step Calculation

  • 📐 To find angle Z, we start with the total measure of the larger angle: 150 degrees.
  • ➖ We then subtract the measures of the two known angles: 60 degrees and another 60 degrees.
  • 🧮 Subtracting 60 degrees twice is equivalent to subtracting 120 degrees from the total.
  • ➡️ Therefore, the calculation is 150° - 120°.

Result

  • ✅ The final calculation, 150 - 120, results in 30 degrees.
  • 🏆 The measure of angle Z is 30 degrees.
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Angle MeasureUnknown AngleAngle DecompositionAngle Composition4th Grade MathKhan AcademyGeometryDiagram Analysis
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