Angle Addition Postulate | Definition, Formula & Examples - Lesson ... - Free Printable

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- The angles ∠ABC and ∠CBD are adjacent angles that form the larger angle ∠ABD.
- Since points A, B, and D lie on a straight line (implied by the diagram), ∠ABD is a straight angle measuring 180°.
- Therefore, the sum of the two adjacent angles must equal 180°: (3x + 7) + (2x + 5) = 180.
- Combine like terms: 5x + 12 = 180.
- Subtract 12 from both sides: 5x = 168.
- Divide by 5: x = 33.6.
- Substitute x = 33.6 back into the expressions for the angles:
- ∠ABC = 3(33.6) + 7 = 100.8 + 7 = 107.8°.
- ∠CBD = 2(33.6) + 5 = 67.2 + 5 = 72.2°.
- Verify: 107.8° + 72.2° = 180°.

Parent Tip: Review the logic above to help your child master the concept of geometry angle addition worksheet.

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