Question

Work and Answer Check.

I will post in the comment section.

Answer 1

k

Answer 2

@Hero

Answer 3

@Vocaloid

Answer 4

@Ultrilliam

Answer 5

@dude

Answer 6

Quadrilateral PQRS is inscribed in circle C. Find the measures of ∠P, ∠Q, ∠R, and ∠S.

Answer 7

Now I'll show my work. One second

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @XioGonz
Quadrilateral PQRS is inscribed in circle C. Find the measures of ∠P, ∠Q, ∠R, and ∠S.Created with RaphaëlPQRS3y-202x+102yx+20CReply Using Drawing
\(\color{#0cbb34}{\text{End of Quote}}\)
I'm reporting to A$$

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @XioGonz
Now I'll show my work. One second
\(\color{#0cbb34}{\text{End of Quote}}\)
mhm

Answer 10

m∠P+m∠R=180 degrees

(2x+10)+(x+20)=180

3x+30=180

3x=150

x=50

m∠P=2x+10=2(50)+10=110

m∠R=x+20=50+20=70

Because ∠Q and VS are supplementary

m∠Q+m∠S=180

(2y)+(3y-20)=180

5y-20=180

5y=200

y=40

m∠Q=2y=2(40)=80

m∠S=3y-20=3(40)-20=

Final Answer=100

Answer 11

um do not give them the direct answer

Answer 12

Hint: The sum of the measures of the interior angles of a quadrilateral is \(360^{\circ}\)

Answer 13

So. Am I correct. Or Incorrect. Lol

Answer 14

Second Hint: \(m\angle{P} + m\angle{Q} + m\angle{R} + m\angle{S} = 360^{\circ}\)

Answer 15

OKay
Got it
Ty

Answer 16

@jhonyy9

Answer 17

Third Hint: \(m\angle{P} = 2x+10\)

Answer 18

So yes. I'm correct..

Answer 19

Hero.
You are making me reach a whole new level or confusion
XD

Answer 20

Where are you confused? Add all the expressions together that represent the 4 angles, set it equal to 360 then solve for x. That's the first step. Substitute the value found for x in each expression to find the measure of each angle.

Answer 21

Ohhhhhhh.
Okay that clarifies it.
Thank you!

Answer 22

Actually, I realize that the variables are different. It has to be done a different way.

Answer 23

The adjacent angles sum to 180 so
\(m\angle{P} + m\angle{Q} = 180\)
\(m\angle{Q} + m\angle{R} = 180\)

Insert the expressions in place of each angle, Then solve as a system of equations

Answer 24

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Hero
The adjacent angles sum to 180 so
\(m\angle{P} + m\angle{Q} = 180\)
\(m\angle{Q} + m\angle{R} = 180\)

Insert the expressions in place of each angle, Then solve as a system of equations
\(\color{#0cbb34}{\text{End of Quote}}\)
Alright, Will do.

Answer 25

I did the problem again. I got the same answer. When I turned it in it was also correct.