Question

7. In OD are bon the given figures AQC is a straight line. O Band sayo. calculate the followering ZAOB if _ BOC = 110° 4. >in the given figure AOC straight line OB and OD ARE RAYS calculate the following AO B if BOC is equal to 110 degree ​

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>>In the figure, AOB is a straight line, F

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In the figure, AOB is a straight line, Find the value of x. Hence, find ∠AOC and ∠BOD.

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From the figure we know that ∠AOB is a straight line

So we get

∠AOB=180

o

It can also be written as

∠AOC+∠COD+∠BOD=180

o

By substituting the values

(3x−7)

o

+55

o

+(x+20)

o

=180

o

3x−7

o

+55

o

+x+20

o

=180

o

On further calculate

4x+180

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=180

o

4x=112

o

x=28

o

By substituting the value of x we get

∠AOC=(3x−7)

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=3(28

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)−7

o

=84

o

−7

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=77

o

∠BOD=(x+20)

o

=(28+20)

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=48

o