Respuesta :

taskmasters
Based in attached the picture, we can easily be determined the other values of the other arc in the given.
Such as enumerated below:
arc TBD= 90° +90° =180°
arc BTC= 90°+ 128° =218°
arc TCB = 128° + 52 °+90°=270°

Therefore, the answer is 270° and it is the letter "C".

The option for this question will be 270.

Arc of circle

The part of the circumference of a circle is called the Arc of the circle.

Given

[tex]\angle TOC=128^{o} \\ \angle TOB= 90^{o} [/tex]

How to calculate arc TCB?

[tex]\angle TOC + \angle COD =180^{o} \\ 128^{o} + \angle COD= 180^{o} \\ \angle COD = 52^{o} [/tex]

Similarly

[tex]\angle TOC + \angle BOD =180^{o} \\ 90^{o} + \angle BOD= 180^{o} \\ \angle COD = 90^{o} [/tex]

Then [tex]\angle TCB [/tex] will be

[tex]\angle TCB = \angle TOC + \angle COD + \angle DOB\\ \angle TCB = 128^{o} + 52^{o} + 90^{o} \\ \angle TCB = 270^{o} [/tex]

Hence,  the option for this question will be 270.

More about the arc of the circle link is given below.

https://brainly.com/question/1577784

Otras preguntas