Answer:could you maybe simplify the question
Step-by-step explanation:
Answer is C because they are next to each other in 180 degree angles or 90 degrees angles
Answer:
The measure of arc BC is 130° ⇒ 1st answer
Step-by-step explanation:
In a circle:
- The measure of an arc is equal to the measure of the central angle subtended by it
- The measure of an arc is equal to double the measure of the inscribed angle subtended by it
- Central angles subtended by the same arc are equal in measures
- Inscribed angles subtended by the same arc are equal in measures
- The measure of central angle is double the measure of the inscribed angle which subtended by its arc
∵ Angle BDC is an inscribed angle
∵ It is subtended by the arc BC
- By using the 2nd fact above
∴ The measure of arc BC = 2 × the measure of ∠BDC
∵ The measure of angle BDC is 65 degree
∴ The measure of arc BC = 2 × 65°
∴ The measure of arc BC = 130°
The measure of arc BC is 130°
60 degrees or C. Since the missing angle is the opposite of the 120 degree angle, 180 degrees minus(since that is the amount of degrees in a straight line, and a circle contains 360 degrees) the other angle gives you your answer.
