Match each indicated measure in the first column for
⊙
O
⊙O.
​
​

Step-by-step explanation:

By the property,

"Measure of the intercepted arc is double of the inscribed angle"

m(arc BC) = 2×48°

                = 96°

By using the same property,

m(arc AC) = 2 × m(∠B)

m(∠B) =

          = 55°

m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]

48° + 55° + m(∠C) = 180°

m(∠C) = 180° - 103°

          = 77°

m(arc AB) = 2 × (m∠C)

                = 2×77

                = 154°