CPM Homework Help : INT2 Problem 10-110

If $\overline{QS}$ is a diameter and $\overline{PO}$ is a chord of the circle at right, calculate the measure of the geometric parts listed below.

$m∠QSO$
Hint (a):
Refer back to the Math Notes in Lesson 10.2.4.

$m∠QPO$
Hint (b):
See part (a).
Answer (b):
$50°$

$m∠ONS$
Hint (c):
Use what you found in part (a) to solve for $m∠ONS$ .

$m\overarc { P S }$
Answer (d):
$126°$

$m\overarc{ P Q }$
Hint (e):
Half of a circle is equal to $180°$ .

$m∠PQN$
Hint (f):
See the Math Notes for this lesson.
Answer (f):
$63°$

Circle, with points, in order, s, o, q, p, line segments from, q, to, s, from, q, to, p, from, p, to o, from, o, to s, with chord, q, s, and chord, p, o, intersecting at point, n, angle, n, o, s, labeled, 63 degrees, arc, s, o, labeled, 80 degrees.