one of the angle of rhombus is 65°. what will b the sum of larger angle and twice the smaller angle of the rhombus?

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To find the sum of the larger angle and twice the smaller angle of a rhombus, we need to know a few properties of rhombuses.

Firstly, let's understand what a rhombus is. A rhombus is a quadrilateral with all four sides of equal length. In a rhombus, opposite angles are equal, and the adjacent angles are supplementary, meaning they add up to 180 degrees.

Given that one of the angles of the rhombus is 65 degrees, we can determine the other angles using the properties of a rhombus.

Since the opposite angles of a rhombus are equal, the other angle opposite to the 65-degree angle will also be 65 degrees.

Now, we know that the sum of adjacent angles of a rhombus is 180 degrees, and we have found two adjacent angles (65 + 65 = 130 degrees).

To find the larger angle of the rhombus, we subtract the sum of the adjacent angles from 180 degrees: 180 - 130 = 50 degrees.

To calculate twice the smaller angle of the rhombus, we multiply the smaller angle by 2: 65 × 2 = 130 degrees.

Finally, we add the larger angle and twice the smaller angle: 50 + 130 = 180 degrees.

Therefore, the sum of the larger angle and twice the smaller angle of the given rhombus is 180 degrees.