Question

In the given figure the value of x that will make AOB a straight line is (3x + 15) (2r-15° B​

Answer 1

Answer:

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

o

=180

o

4x=112

o

x=28

o

By substituting the value of x we get

∠AOC=(3x−7)

o

=3(28

o

)−7

o

=84

o

−7

o

=77

o

∠BOD=(x+20)

o

=(28+20)

o

=48

o

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