Question

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

1) BC
2) BCA
3) CTA​

Answer 1

Answer:

The correct option is 2.

Step-by-step explanation:

Given : $\sf\:m\angle 1=110^{\circ}$.

It is given that $\sf\:m\angle 1=110^{\circ}$, so Arc(BA)=110° and the central angle of Arc BCA is

$\sf\:Arc(BCA)=360^{\circ}-Arc(BA)$

$\sf\:Arc(BCA)=360^{\circ}-110^{\circ}$

$\sf\:Arc(BCA)=250^{\circ}$

The measure of arc BC is

$\sf\:180^{\circ}-110^{\circ}=70^{\circ}$

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.

Answer 2

i think it's answer is option 2

explanation :

it is given that , m angle 1 = 110 so arc(BA)=110° and the central angle of arc BCA is

arc BCA = 360 - arc BA

arc BCA = 360 - 110 = 250

The measure of arc BC is 180 - 110 = 70

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 ( option 2 ).....

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