8.1 Introduction & Angle Sum Property

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Key Formulas

Solved Examples

Step 1

Let the angles be 3x,5x,9x,13x3x, 5x, 9x, 13x.

Step 2

According to the Angle Sum Property, their sum is 360360^\circ.

Step 3

3x+5x+9x+13x=3603x + 5x + 9x + 13x = 360^\circ.

Step 4

30x=360    x=1230x = 360^\circ \implies x = 12^\circ.

Step 5

Angles are: 3(12)=36,5(12)=60,9(12)=108,13(12)=1563(12)=36^\circ, 5(12)=60^\circ, 9(12)=108^\circ, 13(12)=156^\circ.

Final Answer

36,60,108,15636^\circ, 60^\circ, 108^\circ, 156^\circ

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