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In a rhombus, if one angle measures 60 degrees, what is the measure of the adjac

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Question: In a rhombus, if one angle measures 60 degrees, what is the measure of the adjacent angle?

Options:

  1. 120 degrees
  2. 60 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 120 degrees

Solution:

In a rhombus, adjacent angles are supplementary. Therefore, if one angle is 60 degrees, the adjacent angle is 180 - 60 = 120 degrees.

In a rhombus, if one angle measures 60 degrees, what is the measure of the adjac

Practice Questions

Q1
In a rhombus, if one angle measures 60 degrees, what is the measure of the adjacent angle?
  1. 120 degrees
  2. 60 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a rhombus, if one angle measures 60 degrees, what is the measure of the adjacent angle?
  • 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, adjacent angles (angles next to each other) are supplementary.
  • Step 3: Remember that supplementary angles add up to 180 degrees.
  • Step 4: If one angle measures 60 degrees, write it down: Angle A = 60 degrees.
  • Step 5: To find the adjacent angle (Angle B), use the formula: Angle B = 180 degrees - Angle A.
  • Step 6: Substitute the value of Angle A into the formula: Angle B = 180 degrees - 60 degrees.
  • Step 7: Calculate the result: Angle B = 120 degrees.
  • Step 8: Conclude that the measure of the adjacent angle is 120 degrees.
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