Parrel Lines & Angles : Corresponding Angles ( (āϏāĻŽāϏā§āĻĨāĻžāύā§āϝāĻŧ āĻā§āĻŖ) / Same - side Interior Angles (āĻāĻā§ āĻĢāĻžāϞ⧰ āĻ āύā§āϤāĻāϏā§āĻĨ āĻā§āĻŖ) / Alternate Interior Angles (āĻŦāĻŋāĻāϞā§āĻĒ āĻ āύā§āϤāĻāϏā§āĻĨ āĻā§āĻŖ) / Vertically Opposite Angles (āĻŦāĻŋāĻĒā§°ā§āϤ āĻļā§ā§°ā§āώ āĻā§āĻŖ)
1. Corresponding Angles (āϏāĻŽāϏā§āĻĨāĻžāύā§āϝāĻŧ āĻā§āĻŖ) : Corresponding angles are equal : āϏāĻŽāϏā§āĻĨāĻžāύā§āϝāĻŧ āĻā§āĻŖ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤
Ex: If one angle = 65°, the corresponding angle = 65°.
2. Same - side Interior Angles (āĻāĻā§ āĻĢāĻžāϞ⧰ āĻ āύā§āϤāĻāϏā§āĻĨ āĻā§āĻŖ) : Same-side interior angles are supplementary (their sum is 180°) : āĻāĻā§ āĻĢāĻžāϞ⧰ āĻ āύā§āϤāĻāϏā§āĻĨ āĻā§āĻŖ āĻĒā§ā§°āĻ (Supplementary) āĻšāϝāĻŧ, āĻ ā§°ā§āĻĨāĻžā§ āĻĻā§āϝāĻŧā§āĻāĻžā§° āϝā§āĻāĻĢāϞ 180°āĨ¤
Ex: If one angle = 110°, the other angle = 180° − 110° = 70°.
3. Alternate Interior Angles (āĻŦāĻŋāĻāϞā§āĻĒ āĻ āύā§āϤāĻāϏā§āĻĨ āĻā§āĻŖ) : Alternate interior angles are equal : āĻŦāĻŋāĻāϞā§āĻĒ āĻ āύā§āϤāĻāϏā§āĻĨ āĻā§āĻŖ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤
Ex: If one angle = 120°, the other angle = 120°.
4. Vertically Opposite Angles (āĻŦāĻŋāĻĒā§°ā§āϤ āĻļā§ā§°ā§āώ āĻā§āĻŖ) : Vertically opposite angles are equal. : āĻŦāĻŋāĻĒā§°ā§āϤ āĻļā§ā§°ā§āώ āĻā§āĻŖ āϏāĻĻāĻžāϝāĻŧ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤
Ex: If one angle = 48°, the vertically opposite angle = 48°.