Question

39. In a rhombus RSTU if angle R = 120°, then what is the measure of S.​

Answer 1

Answer:

Supplementary adjacent sides

so angle S= 180-120

                 =60 degree

Step-by-step explanation:

Answer 2

The measure of S is 60°.

• Rhombuses are a particular sort of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal. This is a rhombus' fundamental characteristic. A rhombus has a diamond-shaped form. As a result, it is also known as a diamond.
• A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.

Here, according to the given information, we are given that,

The measure of the angle R of a rhombus RSTU is 120 degrees.

Now, S is then the adjacent angle to R.

Now, we know that, the adjacent angles of a rhombus are suplementary to each other.

This means that the sum of angles R and S is 180 degrees.

Then, we get,

$120+S=180.$

Or, $S = 60$°.

Hence, the measure of S is 60°.

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