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Find angle AOB:

9x + 41 = 11x - 21

Find Angle AOB 9x 41 11x 21 class=

Sagot :

BrainCube

Answer:

∠AOB= 131˚

Step-by-step 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:

[tex]11x+ 21=9x+41[/tex]

Solve it out.

[tex]11x +21-9x=9x+41-9x[/tex]

[tex]2x+21=41[/tex]

[tex]2x+21-21=41-21[/tex]

[tex]2x=20[/tex]

[tex]\frac{2x}{2} =\frac{20}{2}[/tex]

[tex]x=10[/tex]

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

[tex]AOB=9(10)+41[/tex]

[tex]AOB= 90 +41[/tex]

[tex]AOB= 131[/tex]

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