Question

What is the measure of arc PQ​

Answer 1

x=15

measure of arc PQ is 110 degrees

Step-by-step explanation:

Hello There!

Remember the circumference of a circle is 360 degrees

So to find x we use the equation

360=8x-10+6x+10x+10

now we solve for x

combine like terms

-10+10 cancels out

8x+6x+10x=24x

now we have

24x=360

divide each side by 24

24x/24=x

360/24=15

we´re left with x = 15

Now lets find the measure of arc PQ

to do so we plug in 15 into x for 8(15)-10

8*15=120

120-10=110

so the measure of arc PQ is 110

Answer 2

x = 15

arc PQ = 110°

ΔPQR is an acute triangle

Explanation:

(6x) + (8x-10) + (10x+10) = 360°

combine like terms:

24x = 360°

x = 15

arc PQ = 8(15) - 10° = 110°