Question

Find the measure of all four angles formed by line segment AC and BD. ​

Answer 1

Answer:

2x+x= 180°

3x=180°

x=60°

Angle AOD = 2×60

= 120°

Angle AOB= 60°

Angle COD = 60° (vertically opp)

Angle BOC = 120°( vertically opp )

Step-by-step explanation:

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Answer 2

Answer:

given=

<AOD=2x°

<AOB=x°

<AOB+<AOD=180°(LINEAR PAIR)

x+2x=180

3x=180

x=180/3

x=60

THEREFORE,<AOB=x=60°

<AOD=2x=2*60=120°

<AOD=<BOC(VERTICALLY OPPOSITE ANGLES)

THEREFORE,<BOC=120°

SIMILARLY,

<AOB=<COD(VERTICALLY OPPOSITE ANGLES)

THEREFORE,<COD=60°

CONCLUSION-<AOB=60°,<AOD=120°,<COD=60° AND <BOC=120°

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