Answer :

Step-by-step explanation:

RHOMBUS' PROPERTIES:

  • Adjacent angles are equal in a rhombus
  • The diagonals of rhombus bisect at 90°

As the adjacent sides are equal in a rhombus,the opposite angles to the equal sides should be equal.

Therefore < DAC = DCA = 62°

As stated in property (ii), diagonals of rhombus bisect at right angles

Let O be the point of intersection of diagonals. So we know DAO is a triangle and otherwise:

  • Exterior angle = Sum of opposite two interior angles

Here

Here,

Thus

  • 90° = 62 + x°
  • x = 90 - 62 = 38° (Subtract 62° from both sides)

Hence the missing value is 38°.

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