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Angle Addition Postulate

Angle Addition Postulate. By: Natalie Alexander. Vocab. Angle Addition Postulate – Adding two angles creates a larger angle. Finding an Angle Measure. Angle Addition Postulate. To solve an angle addition postulate, write an equation to find the value of x . Substitute in angle values.

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Angle Addition Postulate

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  1. Angle Addition Postulate By: Natalie Alexander

  2. Vocab • Angle Addition Postulate – Adding two angles creates a larger angle.

  3. Finding an Angle Measure

  4. Angle Addition Postulate • To solve an angle addition postulate, write an equation to find the value of x. • Substitute in angle values. Angle ABC = Angle ABD + Angle DBC 145˚ = (2x+10)˚ + (4x-3)˚ A D (2x+10)˚ (4x-3)˚ Angle ABC = 145˚ B C

  5. Angle Addition Postulate • Combine the like terms in your new equation. 145˚ = (2x+10)˚ + (4x-3)˚ 145˚ = (6x+7)˚ A D (2x+10)˚ (4x-3)˚ Angle ABC = 145˚ B C

  6. Angle Addition Postulate • Solve your new equation. 145˚ = (6x+7)˚ -7 -7 138˚ = 6x 6 6 23 = x

  7. Angle Addition Postulate • Substitute your answer for x. A D 46+10˚ (2x+10)˚ 23 = x (4x-3)˚ 92-3˚ Angle ABC = 145˚ B C

  8. Angle Addition Postulate • Now, just add. 23 = x A D 46+10˚ 56˚ 89˚ 92-3˚ Angle ABC = 145˚ B C

  9. Double an Angle Measure

  10. Angle Addition Postulate • To double an angle measure, first write an equation for x. • We know that ray XZ bisects angle WXY, so… Angle WXY = Angle WXZ + Angle ZXY Angle WXY = 18˚ + Angle ZXY W Z 18˚ X Y

  11. Angle Addition Postulate • Since we know ray XZ is a bisector, angle ZXY must be the same as angle WXZ. Angle WXY = 18˚ + Angle ZXY 36˚ = 18˚ + 18˚ W Z 18˚ X 18˚ Angle WXY = 36˚ Y

  12. Thank you for watching!

  13. Citations: • McDougal Littel Geometry Textbook

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