If m∠PQR=(12x−2)∘, and mPR=(20x−10)∘, what is m∠PQR?

it’s 70

To find the value of m∠PQR, we can set the measures of m∠PQR and mPR equal to each other and solve for x.

Given: m∠PQR = (12x-2)∘ and mPR = (20x-10)∘

Setting the two expressions equal to each other:
(12x-2) = (20x-10)

Next, we solve for x:

12x - 2 = 20x - 10
12x - 20x = -10 + 2
-8x = -8
x = -8 / -8
x = 1

Now that we have the value of x, we can substitute it back into either expression to find m∠PQR:

m∠PQR = (12(1)-2)∘
m∠PQR = (12-2)∘
m∠PQR = 10∘

Therefore, m∠PQR = 10 degrees.

the answer choices are:

a. 137.5
b. 70
c. 16
d. 81

you tell us what m∠PQR is, then ask what it is.

and PR is a side, not an angle.

Proofread your post before you submit it.
Anyway, the three angles add up to 180, so just solve for x and then use that to get the measures.