In a triangle, PQR, QR is produced to S. If ∠PRS = (9x - 15)°, ∠RPQ = (2x)°, and ∠PQR = (4x + 15)°, what is the value of x?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10.
Given that
In a triangle, PQR, QR is produced to S. If ∠PRS = (9x - 15)°, ∠RPQ = (2x)°, and ∠PQR = (4x + 15)°
⇒ ∠QPR + ∠RPQ = ∠PRS
⇒ 2x + 4x + 15 = 9x - 15
⇒ 6x + 15 = 9x - 15
⇒ 9x - 6x = 15 + 15
⇒ 9x - 6x = 30
⇒ 3x = 30
⇒ x = 10