Question

If the measure of arc AB is 52 degrees, what is the
measure of ZA?

Answer 1

The measure of angle A is 64 degrees

Explanation:

To solve this problem let us first find the measure of angle C so it can be easier to solve later. To find angle C you have to use the inscribed angles theorem, which states that an inscribed angle is half the degrees of its corresponding arc. So because angle C's corresponding arc is the measure of AB or 52 you would divide it by two to get 26. After finding angle C we can now find angle a by doing 180-26-90 (You use 180 because a triangle has 180 degrees) to get your answer of 64

Another way to solve this can be found in the attachment.