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Find the value of the unknown angles in the given figures?
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Find the value of the unknown angles in the given figures?
Unknown Angles in Figures


Figure 1



  • Angle ABD = 60° (given)

  • Angle CBD = 180° - 60° - 50° = 70° (sum of angles in a triangle)

  • Angle ABC = 180° - 70° - 50° = 60° (sum of angles in a triangle)



Figure 2



  • Angle ABD = 70° (given)

  • Angle CBD = 110° (sum of angles in a triangle)

  • Angle BCD = 180° - 110° - 30° = 40° (sum of angles in a triangle)



Figure 3



  • Angle ABD = 70° (given)

  • Angle BCD = 110° (sum of angles in a triangle)

  • Angle DCE = 180° - 110° = 70° (opposite angles of a parallelogram)

  • Angle CDE = 180° - 70° = 110° (opposite angles of a parallelogram)

  • Angle AED = 180° - 70° - 110° = 0° (sum of angles in a triangle)



Figure 4



  • Angle ABD = 80° (given)

  • Angle BCD = 100° (given)

  • Angle CDE = 180° - 100° = 80° (opposite angles of a parallelogram)

  • Angle DCE = 180° - 80° = 100° (opposite angles of a parallelogram)

  • Angle AED = 180° - 80° - 100° = 0° (sum of angles in a triangle)



Figure 5



  • Angle ABD = 70° (given)

  • Angle CBD = 110° (sum of angles in a triangle)

  • Angle BCD = 180° - 110° - 30° = 40° (sum of angles in a triangle)

  • Angle DCE = 180° - 70° = 110° (opposite angles of a parallelogram)

  • Angle CDE = 180° - 110° = 70° (opposite angles of a parallelogram)

  • Angle AED = 180° - 70° - 40° = 70° (sum of angles in a triangle)

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Find the value of the unknown angles in the given figures?
Find the value of the unknown angles in the given figures
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