The circle shown below has ab and bc as its tangents: if the measure of arc ac is 160, what is the measure of angle abc?

answer:

140

step-by-step explanation:

given that ab and bc are two tangents from point b

a and c are points of contact.

arc ac is 160 degrees means central angle subtended =320

and minor arc subtends 360-320 =40 degrees

consider the quadrilateral formed by the vertices a,b,c and o the centre of the circle

aoc = 40 degrees

at the point of contact tangents are perpendicular to radius hence other two angles are 90 each.

hence the 4th angle abc = 360-(90+90+40) =140

(since sum of angles of quadrilateral is 360)

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !