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 <DOC is exterior to ∆DAO
Here, <DOC = <ODA + < OAD
- <DOC = 90° (Property (ii))
- <OAD = 62°
- <ODA = x°
Thus
- 90° = 62 + x°
- x = 90 - 62 = 38° (Subtract 62° from both sides)
Hence the missing value is 38°.
