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I need help please. It will really help me

I need help please. It will really help me-example-1

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Answer:

x = 15

∠AOB = 15°

∠BOC = 165°

Explanation:

Angles on a straight line add up to 180°


\sf \implies \angle AOB + \angle BOC=180

Substitute the given expressions for the angles:


\sf \implies (2x - 15) + 11x = 180

Collect and combine like terms:


\sf \implies 2x +11x- 15=180


\sf \implies 13x- 15=180

Add 15 to both sides:


\sf \implies 13x- 15+15=180+15


\sf \implies 13x=195

Divide both sides by 13:


\sf \implies (13x)/(13)=(195)/(13)


\sf \implies x=15

Now substitute the found value of x into the expressions for each angle:


\sf \implies \angle AOB =2(15)-15=15^(\circ)


\sf \implies \angle BOC =11(15)=165^(\circ)

User LEHO
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