Question

Can anyone help with 19-22 with work shown I’m really confused

Answer 1

Answer:

19.  C

20.  D

21.  B

22.  A

Step-by-step explanation:

If an angle is subtended from an arc and it goes to the opposite end of the circle, the angle is HALF of the measure of the arc. If it goes to the center, it is SAME measure as arc.

19.

Arc BC is DOUBLE of Angle BAC, so

78 * 2 = 156

Answer is C

20.

Arc BEC is DOUBLE of Angle BAC, so

114 * 2 = 228

Answer is D

21.

Angle ABC is HALF of Arc AC, so

Angle ABC = 110/2 = 55

Answer is B

22.

Angle ABC is HALF of Arc AC, so

Angle ABC = 218/2 = 109

Answer is A