Question

Um could you just explain how you got the answer so i can do the rest by myself?? ❤︎❤︎

In APQR, mZP = (4x – 14)", mZQ = (5x + 6)°, and
mZR = (x - 2)°. Find mZR.

Answer 1

x = 19

m<R = 17°

Explanation:

PQR is a triangle and the sum of interior angles in a triangle is equal to 180°

m<P + m<Q + m<R = 180°

4x - 14 + 5x + 6 + x - 2 = 180° add like terms

10x - 10 = 180 add 10 from both sides

10x = 190 divide both sides by 10

x = 19

angle R is x - 2 so if we replace x with the value we found

m<R = 19 - 2 = 17°