Quadrilateral Basics | āĻāϤā§ā§°ā§āĻā§āĻā§° āĻŽā§āϞāĻŋāĻ āϧāĻžā§°āĻŖāĻž
1.Interior Angle Sum | āĻ āύā§āϤāĻāĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ
The sum of the four interior angles of a quadrilateral is 360°. (āĻāĻāĻž āĻāϤā§ā§°ā§āĻā§āĻā§° āĻāĻžā§°āĻŋāĻāĻž āĻ āύā§āϤāĻāĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ā§Šā§Ŧā§Ļ° āĻšāϝāĻŧāĨ¤)
Formula | āϏā§āϤā§ā§°: ∠A + ∠B + ∠C + ∠D = 360°
2. Missing Fourth Angle | āĻāϤā§ā§°ā§āĻĨ āĻā§āĻŖ āύāĻŋā§°ā§āĻŖāϝāĻŧ
Find the missing angle by subtracting the sum of the other three angles from 360°. (āĻ āĻā§āĻāĻžāϤ āĻāϤā§ā§°ā§āĻĨ āĻā§āĻŖ āĻāϞāĻŋāϝāĻŧāĻžāĻŦāϞ⧠āĻŦāĻžāĻā§ āϤāĻŋāύāĻŋāĻāĻž āĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ā§Šā§Ŧā§Ļ°-ā§° āĻĒā§°āĻž āĻŦāĻŋāϝāĻŧā§āĻ āĻā§°āĻāĨ¤)
Formula | āϏā§āϤā§ā§°: ∠D = 360° − (∠A + ∠B + ∠C)
3. Exterior Angle Sum | āĻŦāĻšāĻŋāĻāĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ
The sum of the four exterior angles of a quadrilateral is 360°. (āĻāĻāĻž āĻāϤā§ā§°ā§āĻā§āĻā§° āĻāĻžā§°āĻŋāĻāĻž āĻŦāĻšāĻŋāĻāĻā§āĻŖā§° āϝā§āĻāĻĢāϞ ā§Šā§Ŧā§Ļ° āĻšāϝāĻŧāĨ¤)
Formula | āϏā§āϤā§ā§°: eâ + eâ + eâ + eâ = 360°
4. Number of Diagonals | āĻā§°ā§āĻŖā§° āϏāĻāĻā§āϝāĻž
A quadrilateral has 2 diagonals – AC and BD. (āĻāĻāĻž āĻāϤā§ā§°ā§āĻā§āĻāϤ ⧍āĻāĻž āĻā§°ā§āĻŖ āĻĨāĻžāĻā§ – AC āĻā§°ā§ BDāĨ¤)
5. A Diagonal Forms Two Triangles | āĻāĻāĻž āĻā§°ā§āĻŖāĻ āĻĻā§āĻāĻž āϤā§ā§°āĻŋāĻā§āĻ āĻāĻ āύ āĻā§°ā§
One diagonal divides a quadrilateral into 2 triangles. (āĻāĻāĻž āĻā§°ā§āĻŖā§ āĻāϤā§ā§°ā§āĻā§āĻāĻ ā§¨āĻāĻž āϤā§ā§°āĻŋāĻā§āĻāϤ āĻŦāĻŋāĻāĻā§āϤ āĻā§°ā§āĨ¤)
Note: Every quadrilateral has 4 sides, 4 angles, 2 diagonals, and the sum of its interior angles is 360°. āĻĒā§ā§°āϤāĻŋāĻā§ āĻāϤā§ā§°ā§āĻā§āĻāϤ ā§ĒāĻāĻž āĻŦāĻžāĻšā§, ā§ĒāĻāĻž āĻā§āĻŖ āĻ⧰⧠⧍āĻāĻž āĻā§°ā§āĻŖ āĻĨāĻžāĻā§āĨ¤ āĻāϝāĻŧāĻžā§° āĻ āύā§āϤāĻāĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ ā§Šā§Ŧā§Ļ°āĨ¤
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