Question

a jeweler cut a rhinestone in the shape of a rhombus. If one of the angles of the rhinestone measures 130 degrees, what is the measure of the consecutive angle, x?

A. 180 degrees
B. 130 degrees
C. 50 degrees
D. 90 degrees

Answer 1

C. 50 I believe. Because it has to be equal to 180 making 2 different angles together to get 180. If that makes sense

Answer 2

The measure of the consecutive angle x is 50 degrees in the given rhinestone. The given angles are supplementary angles.

What are the properties of a rhombus?

A rhombus shape has also been named a diamond. Its properties are as follows:

• A rhombus has 4 equal length of sides.
• Its opposite sides are parallel.
• The diagonals bisect each other at right angles.
• The opposite angle are equal in measure.
• The adjacent angles are supplementary to each other i.e., their sum is 180 degrees.
• The Sum of all the angles in the rhombus is 360 degrees

Calculating angle x:

The measure of one of the angles = 130 degrees

The angle x is supplementary to the given angle. So, their sum is 180 degrees. I.e.,

130 + x = 180

⇒ x = 180 -130

⇒ x = 50°

Thus, the measure of the angle x is 50°.

Learn more about the shape rhombus here:

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