Question

What is the value of p?

Answer 1

See the following:

http://www.mathsisfun.com/geometry/interior-angles-polygons.html

This online document tells us that the sum of the interior angles of a quadrilateral is 360 degrees.

Your diagram shows that one of these interior angles is 58 degrees, and that there is one right angle (90 degrees). What is the sum of the remaining two angles?

Answer 2

212

Answer 3

This is a special case of a quadrilateral called the cyclic quadrilateral when all 4 vertices fall on a circle. In a cyclic quadrilateral, the opposite angles add up to 180 degrees.

Answer 4

Right. Next, we must determine the size of the angle p. Have you any clue regarding how to do that, given what we now know?

Answer 5

nope :(