Question

Figure ABCD is a rhombus. Find the value of x. 58° x = [ ? ]°

Answer 1

The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.

Figure ABCD is a rhombus.

Its diagonals intersect at right angle.

Let the another angle be x. Then we have

x + 58° + 90° = 180°

        x + 148° = 180°

                   x = 32°

More about the rhombus link is given below.

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Answer 2

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: x = 32°$

____________________________________

$\large \tt Solution \: :$

Diagonals of a Rhombus bisect each other at 90°

$\qquad \tt \rightarrow \: x + 58 + 90 = 180$

[ Sum of interior angles of a triangle ]

$\qquad \tt \rightarrow \: x + 148 = 180$

$\qquad \tt \rightarrow \: x = 180 - 148$

$\qquad \tt \rightarrow \: x = 32 \degree$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞