Find the value of x.

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

is there a question here?

step-by-step explanation: