Question

In the adjoining figure, find the measure of ZLMN.​

Answer 1

Answer:

how mane you free is my life whent

Answer 2

∠LMN = 135°

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Given :-

• ∠LON = 45°
• ∠ONM = 90° { ∵ ON ⟂ NM }
• ∠OLM = 90° { ∵ LM ⟂ OL }

To find :-

• ∠LMN

How to find :-

• We know that sum of all angle of quadrilateral is 360°.
• So, we will add all angles which are given and subtract them from 360° which gives the Angle LMN.

So, the Angle LMN is :-

⟹ ∠LON + ∠ONM + ∠OLM + ∠LMN = 360°

⟹ 45° + 90° + 90° + ∠LMN = 360°

⟹ 225° + ∠LMN = 360°

⟹ ∠LMN = 360° - 225°

⟹∠LMN = 135°