Question

Can somebody check my work?

Answer 1

I got that angle pqr equaled 140 degrees. is that right?

Answer 2

My options were: 40

64

116

140

Answer 3

@mathstudent55 or @phi ?

Answer 4

the quadrilateral (4 sided figure) is cyclical if it can be inscribed in a circle. That means you have a cyclic quadrilateral.

the opposite angles of a cyclic quadrilateral add up to 180º

Answer 5

ok. so what do i do

Answer 6

i used anglerop + angle pqr= 180 degrees to start

Answer 7

Let's see
x+16 + 6x-4=180
7x+12= 180
7x= 168
x= 168/7 = 24

angle pqr = 6*24-4= 144-4= 140

yes.

Answer 8

ok awesome. thanks :)