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3 years ago

If one of the angles of a triangle is 130 degree then the angle between the bisectors of the other two angles can be

Mathematics

1 answer:

Viefleur [7K]3 years ago

8 0

Answer: D) 155

Step-by-step explanation:

let <A, <B,<C are three angles in a triangle.

sum of the three angles in a triangle is 180degree.

<A+<B+<C=180

130+<B+<C=180 since one angle is given

<B+<C =180-130

<B+<C=50

(<B+<C)/2=25----(1)after bisecting sum of the angles

required angle =180-25=155

d is correct answer

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3 solutions:

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Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

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$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

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we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: