What is the value of q?
A: 58
B: 122
C: 180
D: 116

Question

What is the value of q?
A: 58
B: 122
C: 180
D: 116

whpalmer4 · Answer

Probably one of those, hard to choose without more details :-)

omgthatgirl · Answer

attachment

whpalmer4 · Answer

Okay, how much will the four angles sum to?

omgthatgirl · Answer

360

whpalmer4 · Answer

do we know anything else about the angles of a quadrilateral inscribed in a circle?

omgthatgirl · Answer

No

whpalmer4 · Answer

well, it turns out that not only do they sum to 360 degrees, but opposite angles are supplementary, so they sum to 180 degrees.

whpalmer4 · Answer

From that, can you figure out the values of p and q?

omgthatgirl · Answer

i think so

whpalmer4 · Answer

operators are standing by to check your answer :-)

omgthatgirl · Answer

is it d?

whpalmer4 · Answer

p is complementary with a 90 degree angle, so p + 90 = 180, so p = 180-90 = 90

we know that q and 58 degrees are complementary, so q + 58 = 180 or 180 -58 = q which means q =

omgthatgirl · Answer

122

omgthatgirl · Answer

thank you

whpalmer4 · Answer

take a look at this web page: http://www.mathopenref.com/quadrilateralinscribedangles.html it has a cool gadget for demonstrating this property

whpalmer4 · Answer

you can even drag it into position to check your answer :-)