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given : 2 opposite angles of a parallelogram are (3x - 2) and (63 - 2x) need to find out : all angles of parallelogram solution : according to properties of a parallelogram opposite angles are equal ⇒ (3x - 2) = (63 - 2x) ⇒ 3x + 2x = 63 + 2 ⇒ 5x = 65 ⇒ x = 65/5 ∴ x = 13° by substituting the value of x in (3x - 2) and (63 - 2x) (3x - 2) ⇒ 3*13 - 2 ⇒ 39 - 2 ⇒ 37°

(63 - 2x) ⇒ 63 - 2*13 ⇒ 63 - 26 ⇒ 37°

⇒ let one of the other angle be x according to the properties of a parallelogram the opposite angle will be equal ∴ the other angle will also be x By angle sum property of a quadrilateral = x + x + 37° + 37° = 360° 2x + 74° = 360° 2x = 360° - 74° 2x = 286 x = 286/2 x = 143° -------------------------------------------------------------------------------------------- the first angle = 37° the second angle = 37° the second angle = 143° the third angle = 143°