Question

Can I please get some help?

Answer 1

8x -10 + 6x + 10x + 10 = 180.

Solve for x and plug them in the original expressions, this will give you the value of the angle and I am sure you can know by then.

Answer 2

@Boblovesmath what about part B?

Answer 3

oh and I got 7.5. is that right?

Answer 4

x = 7.5 or x = 15/2 is correct

Answer 5

you then use x = 7.5 to find the angles P, Q, R

Answer 6

okay what about part two?

Answer 7

for example

arc QR = 10x + 10

arc QR = 10*7.5 + 10

arc QR = 85

that means inscribed angle QPR, or just angle P, is half that at 85/2 = 42.5 degrees

Answer 8

find the other angles Q and R

Answer 9

if you find two angles congruent to one another, then you have an isosceles triangle

if you find all 3 angles congruent to one another, then you have an equilateral triangle

otherwise, the triangle is scalene

Answer 10

How do I find the other angles?

Answer 11

what is arc PR equal to?

Answer 12

6x

Answer 13

so 45?

Answer 14

wait a minute, the equation shouldn't be 8x -10 + 6x + 10x + 10 = 180

it should be 8x -10 + 6x + 10x + 10 = 360

since the total arc measures add up to 360 (not 180)

Answer 15

sorry I just caught that

Answer 16

so let me redo my calculations for everything brb

Answer 17

ok

Answer 18

15 is part A

Answer 19

good

Answer 20

PR=90

Answer 21

good

Answer 22

cut this in half to get the inscribed angle PQR

angle PQR = (arc PR)/2 = 90/2 = 45 degrees

Answer 23

so angle Q is 45 degrees

Answer 24

so what about the other angles?

Answer 25

what is arc QR

Answer 26

R = 55?

Answer 27

good, how about P

Answer 28

80?

Answer 29

P = 80 degrees
Q = 45 degrees
R = 55 degrees

Answer 30

what kind of triangle do we have?

Answer 31

scalene

Answer 32

perfect

Answer 33

Thank you

Answer 34

you're welcome