Posted by britany on .
The line QS bisects <PQR, m<PQR = (x2), and m<PQS = (2x +6). Find all the possible measures for <PQR.

geometry 
Henry,
PQR = X^2.
PQS = 2x + 6.
PQS = PQR/2,
2x + 6 = X^2/2,
Multiply both sides by 2:
4x + 12 = X^2,
x^2  4x  12 = 0,
(x+2)(x6) = 0,
x+2 = 0,
X = 2.
x6 = 0,
X = 6.
PQR = X^2 = (2)^2 = 4.
PQR = 6^2 = 36.