Parrel Lines & Angles : Corresponding Angles ( (āϏāĻŽāĻ¸ā§āĻĨāĻžāύ⧀āϝāĻŧ āϕ⧋āĻŖ) / Same - side Interior Angles (āĻāϕ⧇ āĻĢāĻžāϞ⧰ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ) / Alternate Interior Angles (āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ) / Vertically Opposite Angles (āĻŦāĻŋāĻĒā§°ā§€āϤ āĻļā§€ā§°ā§āώ āϕ⧋āĻŖ)



1. Corresponding Angles (āϏāĻŽāĻ¸ā§āĻĨāĻžāύ⧀āϝāĻŧ āϕ⧋āĻŖ) : Corresponding angles are equal : āϏāĻŽāĻ¸ā§āĻĨāĻžāύ⧀āϝāĻŧ āϕ⧋āĻŖ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤


Ex: If one angle = 65°, the corresponding angle = 65°.


2. Same - side Interior Angles (āĻāϕ⧇ āĻĢāĻžāϞ⧰ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ) : Same-side interior angles are supplementary (their sum is 180°) : āĻāϕ⧇ āĻĢāĻžāϞ⧰ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ āĻĒā§‚ā§°āĻ• (Supplementary) āĻšāϝāĻŧ, āĻ…ā§°ā§āĻĨāĻžā§Ž āĻĻ⧁āϝāĻŧā§‹āϟāĻžā§° āϝ⧋āĻ—āĻĢāϞ 180°āĨ¤


Ex: If one angle = 110°, the other angle = 180° − 110° = 70°.


3. Alternate Interior Angles (āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ) : Alternate interior angles are equal : āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ āϕ⧋āĻŖ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤


Ex: If one angle = 120°, the other angle = 120°.


4. Vertically Opposite Angles (āĻŦāĻŋāĻĒā§°ā§€āϤ āĻļā§€ā§°ā§āώ āϕ⧋āĻŖ) : Vertically opposite angles are equal. : āĻŦāĻŋāĻĒā§°ā§€āϤ āĻļā§€ā§°ā§āώ āϕ⧋āĻŖ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤


Ex: If one angle = 48°, the vertically opposite angle = 48°.




Exam Trick : Corresponding = Equal • Alternate Interior = Equal • Vertically Opposite = Equal • Same-side Interior = 180° (āϏāĻŽāĻ¸ā§āĻĨāĻžāύ⧀āϝāĻŧ = āϏāĻŽāĻžāύ • āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ = āϏāĻŽāĻžāύ • āĻŦāĻŋāĻĒā§°ā§€āϤ āĻļā§€ā§°ā§āώ = āϏāĻŽāĻžāύ • āĻāϕ⧇ āĻĢāĻžāϞ⧰ āĻ…āĻ¨ā§āϤāσāĻ¸ā§āĻĨ = 180°)