Question

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calculations to receive credit.

Answer 1

please help!!:)

Answer 2

Im at x=44 now I'm stuck

Answer 3

@kitty10280

Answer 4

I did 2x+2x+4=180

Answer 5

x=44 =0

Answer 6

So is the measure of angle Q 44?

Answer 7

Or do I plug that in to something

Answer 8

1 sec start over

Answer 9

u said x=44

Answer 10

O + Q = 180 so thats 2x+2x+4=180 4x+4=180 176/4 = 44

Answer 11

But then what is the measure of angle Q

Answer 12

0

Answer 13

how

Answer 14

sorry I'm not good at this

Answer 15

1 min

Answer 16

my answer is 44 or 0

Answer 17

but how 0
?

Answer 18

thats what i got

Answer 19

know if u will excuse me i gtg

Answer 20

ok thanks for your help!! :)

Answer 21

ur welcome

Answer 22

Ans, 92 degrees

A quadrilateral whose all 4 pts lie on a circle is a cyclic quadrilateral.
Sum of opposite angles of a cyclic quadrilateral equals 180 degrees.
So, PQRO is a cyclic quadrilateral and we can write
angle O + angle Q = 180 degrees
So, 2x + 2x + 4 = 180
x = 44
therefore, angle Q = 2x + 4 = 92 degrees