Question

given lines AB andCD intersect each other at point O then prove that angleAOD =angleCOB​

Answer 1

Photosynthesis is theprocess by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

Answer 2

Consider ∠AOC as 5x and ∠AOD as 7x

from the figure we know that ∠AOC and ∠AOD for linear pair of angle

so it can be written as

∠AOC+∠AOD=180

o

by substituting the values

5x+7x=180

o

x=180/12

x=15

o

by susbtituting the value of x

∠AOC=5x

so we get

∠AOC=5(15)=75

o

∠AOD=7x

so we get

∠AOD=7(15)=105

o

from the figure we know that ∠AOC and ∠BOD are vertical angles

so we get

∠AOC=∠BOD=75

o

from the figures we know that ∠AOD and ∠BOC are vertical angles

so we get

∠AOD=∠BOC=105

o

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