Question

12. In PQR if mP is 14 less than five times x, mQ is five less than x, and mR is nine less

than twice x, find x and the measure of each angle.

Answer 1

Explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180 we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43