Question

Please help!!!

A.a = 90 b = 90

B.a = 92 b = 88

C.a = 95 b = 85

D.a = 105 b = 75

Answer 1

C

Explanation:

the inner angle of 2 intersecting chords is half of the sum of the 2 arc angles.

in our case

a = (145 + 45)/2 = 190/2 = 95°

b is then the supplementary angle to a (together they are 180°), as here simply the rules of intersecting lines apply.

so,

b = 180 - 95 = 85°