In the given figure rays OA, OB, OC, OD and OE have the common end point O. Show that ∠𝐴𝑂𝐵 + ∠𝐵𝑂𝐶 + ∠𝐶𝑂𝐷 + ∠𝐷𝑂𝐸 +∠𝐸𝑂𝐴 = 360°.

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Solution

Step 1:
Construction: Let’s construct a ray OP opposite to the ray OA.

Step 2:

Step 3:

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In the given figure rays OA, OB, OC, OD and OE have the common end point O. Show that ∠𝐴𝑂𝐵 + ∠𝐵𝑂𝐶 + ∠𝐶𝑂𝐷 + ∠𝐷𝑂𝐸 +∠𝐸𝑂𝐴 = 360°.

Step 1: Construction: Let’s construct a ray OP opposite to the ray OA. Step 2: Step 3:

Step 1:
Construction: Let’s construct a ray OP opposite to the ray OA.

Step 2:

Step 3: