Question

Quadrilateral ABCD is inscribed in this circle.



What is the measure of ∠A?

Enter your answer in the box.

Answer 1

intersected arc rule: when you have an angle on the perimeter of a circle (like <C) the arc it intersects is twice the angle

so major arc DB is 2 * m<C

now, the rest of the circle is made up of minor arc DB (the lower part of the circle). this minor arc therefore must be 360 - major arc DB

finally, minor arc <A is intersected by minor arc DB, so <A is one half minor arc DB

Answer 2

So 59?

Answer 3

yup good

Answer 4

Thank you so much!