arrow
arrow
arrow
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?
Question

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?

A.

55

B.

20

C.

10

D.

75

Correct option is C

Given:
In a triangle PQR, QR is produced to S.
If ∠PRS = (9x - 15)°, ∠RPQ = (2x)°, and ∠PQR = (4x + 15)°,
Concept Used:
∠PRS = ∠RPQ + ∠PQR
Solution:
∠PRS = ∠RPQ + ∠PQR
=> (9x - 15)° = (4x + 15)° + 2x
=> 9x - 6x = 30°
=> x = 10°

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘SSC CHSL Tier I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
368k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow