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Find angle AOB:

9x + 41 = 11x - 21

Find angle AOB: 9x + 41 = 11x - 21-example-1

1 Answer

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Answer:

∠AOB= 131˚

Explanation:

Recall the Vertical Angles Theorem, which states that when two lines intersect, vertical angles are congruent. With this, ∠AOB ≅ ∠COD

To find the value of x, make the equation:


11x+ 21=9x+41

Solve it out.


11x +21-9x=9x+41-9x


2x+21=41


2x+21-21=41-21


2x=20


(2x)/(2) =(20)/(2)


x=10

Now that we know the value of x, insert the value of x for the equation of ∠AOB to find its measure.


AOB=9(10)+41


AOB= 90 +41


AOB= 131

User Fabio Berger
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