Respuesta :

The line from an incenter to a vertex bisects the angle that is produced there. You probably notice this in angle ASB and angle ARC. Therefore, angle ZTB is going to be equal to half of the angle measure of BTC. We can do the following:

24+24+35+35+x+x=180 (x represents the two angles in angle BTC when they are bisected)
simplifies to
2x+118=180
Solving for x, we get that x=31. 

So angle ZTB=31.

:)

The measure of Angle ZTB  = 31 degree , Option B is the correct answer.

What is Incenter of a Triangle ?

An incenter of a triangle is the intersection point of all the three angle bisectors of an angle of a triangle.

From the given data in the question

The measure of angle RST  = 48 degree

SRT = 70 degree

and RTS = ?

The sum of all angles of a triangle is 180

Therefore

70+ 48 +T = 180

T = 62 degree

Angle ZTB is the half of angle RTS

Therefore Angle ZTB = 62 /2 = 31 degree.

To know more about Incenter of a Triangle

https://brainly.com/question/27868922

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