What is the measure of the inscribed angle ABC if the measure of the arc, which this angle intercepts is:

48°

9514 1404 393

  24°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc.

  48°/2 = 24°, the measure of ∠ABC

x = 6

Step-by-step explanation:

Step 1:

3x + 112 = 5x + 100         Vertical Angles

Step 2:

112 = 2x + 100         Subtract 3x on both sides

Step 3:

12 = 2x          Subtract 100 on both sides

Step 4:

x = 12 ÷ 2        Divide

x = 6

Hope This Helps :)