Answer:
234°
Step-by-step explanation:
Method 1: Arc angles of a circle add up to 360°.
12x – 6 + 3 + 21x = 360
33x – 3 = 360
33x = 363
x = 11
Therefore, the measure of major arc BD is:
3 + 21(11) = 234°
Method 2: The angle between the tangent lines is supplementary to the minor arc.
6x – 12 + 12x – 6 = 180
18x – 18 = 180
18x = 198
x = 11
Therefore, the measure of major arc BD is:
3 + 21(11) = 234°
