Question

In the given figure what is the measure of arc BC

Answer 1

Answer:

• 48°

Step-by-step explanation:

Both angles A and D intercept same arc BC, hence congruent:

• 7x - 4 = 2x + 16
• 7x - 2x = 16 + 4
• 5x = 20
• x = 4

Arc measure is twice the measure of inscribed angle:

• mBC = 2(7*4 - 4) = 48