Question

If m1 = 110°, an arc with a measure of 250°.

BC
BCA
CTA

Answer 1

the correct answer is BCA

Answer 2

The correct option is 2.

Explanation:

Given information:
`m\angle 1=110^(\circ)`.

It is given that
`m\angle 1=110^(\circ)`, so arc(BA)=110° and the central angle of arc BCA is

`Arc(BCA)=360^(\circ)-Arc(BA)`

`Arc(BCA)=360^(\circ)-110^(\circ)`

`Arc(BCA)=250^(\circ)`

The measure of arc BC is

`180^(\circ)-110^(\circ)=70^(\circ)`

The measure of arc CTA is 180° because AC is the diameter.

It means options 1 and 3 are incorrect.

The measure of arc BCA is 250°. Therefore the correct option is 2.