Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB? A) 40° B) 70°

Question

arsen [322]

3 years ago

5

Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB? A) 40° B) 70°

C) 100° D) 140°

Mathematics

2 answers:

WINSTONCH [101] · Answer 1 · 2022-09-06T20:51:03+03:00

WINSTONCH [101]3 years ago

8 0

Answer:

140

Step-by-step explanation:

kramer · Answer 2 · 2022-09-06T19:22:43+03:00

Answer:

D) 140°

Step-by-step explanation:

The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.