Question

Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle R? What is the measure of angle R? You must show all work and calculations to receive credit.

Answer 1

The opposite angles of a cyclic quadrilateral add up to 180.
A cyclic quadrilateral is a quadrilateral with the four vertices on a circle.

Answer 2

no, i can't do this one.

Answer 3

angle P + angle R = 180
angle O + angle Q = 180

Here they are only interested in R and so the first equation will be sufficient to solve for R.

Answer 4

what do i write?

Answer 5

@Directrix

Answer 6

angle P + angle R = 180
y + (3y + 8) = 180
Solve for y.

Then put that y value in (3y + 8) to find angle R.

Answer 7

can you take me through it step by step of what it is soposed to look like till the answer please?

Answer 8

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Answer 9

y + (3y + 8) = 180
y + 3y + 8 = 180
add the y terms:
4y + 8 = 180
subtract 8 from both sides:
4y = 180-8 = 172
divide both sides by 4
y = 172/4 = 43

Angle R = 3y + 8
Put y = 43 and calculate R.

Answer 10

thank you !cx

Answer 11

you are welcome.

Answer 12

is the answer 5.3 or 0.18?

@lowcard2
@ranga
@dan815
@animal_lover36

Answer 13

whats the answer i think i did it wrong

Answer 14

@Faith&Compassionate @surjithayer @Somy @DullJackel09 @SyedMohammed98 @TTP @rebeka @Hero @AnswerMyQuestions