SOLUTION: QS bisects ∠PQR, m∠PQR = (4x + 2) °, and
m∠SQR = (3x - 6) °. What is the value of x?
Algebra.Com
Question 492128: QS bisects ∠PQR, m∠PQR = (4x + 2) °, and
m∠SQR = (3x - 6) °. What is the value of x?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
Since QS bisects angle PQR, SQR is 1/2 of PQR.
2(3x - 6) = (4x + 2)
6x -12 = 4x + 2
2x = 14.
x = 7
SQR = (7)(3) - 6 = 15
PQR = 4(7) + 2 = 30
This does check.
cleomenius.
RELATED QUESTIONS
If ∆PQR ≅ ∆MNS, which of the following is true?
PQ ≅ MS... (answered by richard1234)
∠P and ∠Q are supplementary angles. If m∠P = 2x + 3 and m∠Q = 3x... (answered by richwmiller)
QS bisects angle PQR = (4x+2)degrees and angle SQR = (3x-6)degrees what is the value of... (answered by nyc_function)
∠A and ∠B are supplementary angles. If m∠A = 2x + 16 and m∠B =... (answered by ikleyn)
In △ABC, m∠A = x, m∠B = 2x + 2, and m∠C = 3x + 4. What is the... (answered by Fombitz)
Q is a point on the interior of ∠POR.
m∠POR = (x2 + 7x – 21)°, m∠POQ = (answered by greenestamps)
If m∠P = 2x + 3 and m∠Q = 3x – 8, what is the measure of... (answered by Edwin McCravy)
∠x and ∠y are complementary. If m∠x = a + 3 and m∠y = 2a + 6,... (answered by nerdybill)
1. http://tinyurl.com/l4z73qv
2. Inscribed ∠ ABC and ∠ ADC intercept the... (answered by Fombitz)