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In a rhombus, if one angle measures 120 degrees, what are the measures of the ot

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Question: In a rhombus, if one angle measures 120 degrees, what are the measures of the other three angles?

Options:

  1. 120, 60, 120
  2. 60, 120, 60
  3. 120, 120, 60
  4. 60, 60, 120

Correct Answer: 120, 60, 120

Solution: 

In a rhombus, opposite angles are equal and adjacent angles are supplementary. Thus, if one angle is 120 degrees, the opposite angle is also 120 degrees, and the adjacent angles are 60 degrees.

In a rhombus, if one angle measures 120 degrees, what are the measures of the ot

Practice Questions

Q1
In a rhombus, if one angle measures 120 degrees, what are the measures of the other three angles?
  1. 120, 60, 120
  2. 60, 120, 60
  3. 120, 120, 60
  4. 60, 60, 120

Questions & Step-by-Step Solutions

In a rhombus, if one angle measures 120 degrees, what are the measures of the other three angles?
  • Step 1: Understand that a rhombus is a type of quadrilateral where all sides are equal in length.
  • Step 2: Know that in a rhombus, opposite angles are equal. This means if one angle is 120 degrees, the angle directly across from it is also 120 degrees.
  • Step 3: Remember that adjacent angles in a rhombus are supplementary, which means they add up to 180 degrees.
  • Step 4: Since one angle is 120 degrees, the adjacent angle must be 180 degrees - 120 degrees = 60 degrees.
  • Step 5: Since the opposite angle to the 60-degree angle is also equal, the other angle is also 60 degrees.
  • Properties of a Rhombus – In a rhombus, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).
  • Angle Relationships – Understanding how to calculate angles based on given measures and the properties of polygons.
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