Question

What is the measure of arc BC

Answer 1

your answer is 56 so option B . :))

Answer 2

Option B

Explanation:

As property of angle inside circle, arc BC = 2 x angle BDC.

Let's consider triangle ABD.

BAD = 98 deg

ABD = (1/2) x arc AD = (1/2) x 80 = 40 deg

As the property of sum of 3 angles in a triangle,

=> ADB + ABD + BAD = 180

=> ADB = 180 - ABD - BAD = 180 - 40 - 98 = 42 deg

=> BDC = 70 - 42 = 28

=> arc BC = 2 x 28 = 56 deg

=> Option B is correct