Question

If m arc (BC) = 110° and

m arc (AB) = 125°, find

measures of all remaining arcs.​

Answer 1

Answer:

(1) It is given that line AB is tangent to the circle at A.

(1) It is given that line AB is tangent to the circle at A.∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

(1) It is given that line AB is tangent to the circle at A.∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)Thus, the measure of ∠CAB is 90º.

Answer 2

Given:

If m arc (BC) = 110°

m arc (AB) = 125°

Find m arc (AC) =?

We know that measure of complete circle is 360°

So here

m(arc AB) + m(arc BC) + m(arc AC) =  360°

125° + 110° + m(arc AC) =  360°

235° + m(arc AC) =  360°

360° - 235° = m(arc AC)

m(arc AC) = 125°

Hence the measures of arc AC is 125°