Home » If the angles of quadrilateral are (p + 10)°, (2p – 30)°, (3p + 20)° and 4p°, find p.

If the angles of quadrilateral are (p + 10)°, (2p – 30)°, (3p + 20)° and 4p°, find p.

If the angles of quadrilateral are (p + 10)°, (2p – 30)°, (3p + 20)° and 4p°, find p.

  • A.
    63
  • B.
    40
  • C.
    36
  • D.
    28
Correct Answer: Option C
Explanation

The sum of angles in a quadrilateral = 360°

(therefore (p + 10) + (2p – 30) + (3p + 20) + 4p = 360)

(10p = 360° implies p = frac{360}{10} = 36°)