Applying the properties of a rhombus, the missing angles are determined as:
- m∠1 = 90°
- m∠2 = 42°
- m∠3 = 42°
- m∠4 = 48°
- m∠5 = 48°
What are the properties of a Rhombus?
- Diagonals of a rhombus bisect each other at right angles (they are perpendicular to each other).
- All four sides are equal.
- Adjacent angles in a rhombus are supplementary, that is, their sum equals 180 degrees.
- Opposite angles are equal in a rhombus.
- Diagonals of a rhombus bisect each of the angles into two equal halves.
Using the properties of a rhombus, the missing angles in the diagram attached below would be determined as follow:
m∠1 = 90° (right angle)
m∠4 = 48°
m∠2 = 180 - (90 + 48) = 42°
m∠3 = m∠2 = 42°
m∠5 = 180 - (90 + 42) = 48°
Learn more about rhombus on:
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