Question

rays OA OB OC OD OE have the common endpoint O show that angle AOB + angle BOC + angle COD + angle DOE + angle EOA = 360°

Answer 1

Answer:

Step-by-step explanation:

Construction:draw OP ray opposite to OA.

PROOF:

<AOB+<DOE+<COP = 180

(0A is a line)..........(1)

<POD+<DOE+<EOA = 180

(OA is a line)..........(2)

Add (1) and (2)

<AOB+<BOC+( <COP + <POD ) + <DOE+<EOA = 180+ 180

<AOB +<BOC + <COD + < DOE +<EOA = 360.

a+b+c+d+e = 360°.

Answer 2

By Constructing F we can do

Hope it is helpful