x(x+10),(x+20),(x+30) find the angle
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Answer:
x=(-11+√641)/2
Step-by-step explanation:
According to Angle Sum property of Triangles Sum of all the angles in a traingle = 180°
In this case the three angles are x(x+10),x+20,x+30
x(x+10)+(x+20)+(x+30)=180
⇒x²+10x+x+20+x+30=180
⇒x²+11x+50-180=0
⇒x²+11x-130
⇒x=[-11±√[11²-{4*1(-130)}]]/(2*1)
⇒x=(-11+√641)/2 (∵The Other is negative and angle in triangle can't be negative)
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