Lines & Angles - Complete Formule Chart



Important Formulas at a Glance (āĻāĻ• āύāϜ⧰āϤ āϗ⧁⧰⧁āĻ¤ā§āĻŦāĻĒā§‚āĻ°ā§āĻŖ āϏ⧂āĻ¤ā§ā§°āϏāĻŽā§‚āĻš)



  • Linear Pair = 180° (⧰⧈āĻ–āĻŋāĻ• āϝ⧋⧰ āϕ⧋āĻŖ = 180°)

  • Corresponding Angles are Equal (āϏāĻŽāĻ¸ā§āĻĨāĻžāύāĻŋāĻ• āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧ)

  • Complementary Angles = 90° (āĻĒā§‚ā§°āĻ• āϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ = 90°)

  • Alternate Interior Angles are Equal (āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧ)

  • Angles Around a Point = 360° (āĻāϟāĻž āĻŦāĻŋāĻ¨ā§āĻĻ⧁⧰ āϚāĻžā§°āĻŋāĻ“āĻĢāĻžāϞ⧰ āϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ = 360°)

  • Alternate Exterior Angles are Equal (āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ āĻŦāĻšāĻŋāσāĻ¸ā§āĻĨ āϕ⧋āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāύ āĻšāϝāĻŧ)

  • Triangle Angle Sum = 180° (āĻ¤ā§ā§°āĻŋāϭ⧁āϜ⧰ āϤāĻŋāύāĻŋāϟāĻž āϕ⧋āĻŖā§° āϝ⧋āĻ—āĻĢāϞ = 180°)

  • Co-Interior Angles are Supplementary (āĻāϕ⧇āϟāĻž āĻĢāĻžāϞ⧰ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖāϏāĻŽā§‚āĻšā§° āϝ⧋āĻ—āĻĢāϞ = 180°)

  • Exterior Angle = Sum of Two Opposite Interior Angles (āĻŦāĻšāĻŋāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ = āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻ⧁āϟāĻž āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖā§° āϝ⧋āĻ—āĻĢāϞ)


Trick



  • 90° → Complementary (āĻĒā§‚ā§°āĻ•)

  • 180° → Linear Pair, Triangle Sum, Co-Interior (āϏāĻŽā§āĻĒā§‚ā§°āĻ•)

  • 360° → Around a Point (āĻŦāĻŋāĻ¨ā§āĻĻ⧁⧰ āϚāĻžā§°āĻŋāĻ“āĻĢāĻžāϞ)

  • Equal → Corresponding, Alternate Interior, Alternate Exterior

  • Exterior Angle = Two Opposite Interior Angles Added Together

  • āĻŦāĻšāĻŋāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ = āĻŦāĻŋāĻĒā§°ā§€āϤ āĻĻ⧁āϟāĻž āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖā§° āϝ⧋āĻ—āĻĢāϞ.