Ayden1234
Answered

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Angle MNO measures 112°. What is the measure of angle LMN?

34°
45°
56°
68°

Sagot :

hailydenney2

Answer:

68°

Step-by-step explanation:

A complete angle is 180 degrees, if MNO is 112 degrees, then you will subtract the two numbers to find the angle measure for LMN

180 - 112 = 68

The value of the angle LMN is [tex]68^{0}[/tex]

What is rhombus?

A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or rhombus diamond.

It is given that a rhombus LMNO with one angle MNO measures [tex]112^{0}[/tex].

We need to determine the value of the angle LMN.

Now, we know that the sum of the corresponding angles in the rhombus is always equals to [tex]180^{0}[/tex].

Therefore, angle MNO and angle LMN are the corresponding angles of the rhombus LMNO.

Thus,

Angle MNO + Angle LMN = [tex]180^{0}[/tex]

[tex]112^{0}+Angle LMN = 180^{0}[/tex]

Angle LMN = [tex]180^{0} -112^{0}[/tex]

Angle LMN = [tex]68^{0}[/tex]

Hence, the value of the angle LMN is [tex]68^{0}[/tex].

Find out more information about rhombus here

https://brainly.com/question/4115340

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