Question

find measure of angle P in triangle LMN angle L is 110 angle M is 130 what will be angle N


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Answer 1

Answer:

L+M-180

L=110

M=130

L+M=240-180=60

Answer is=60

Answer 2

Answer:

In quadrilateral PLQN,

∠P+∠Q+∠PLN+∠QNL=360

o

...(Sum of angles of quadrilateral)

90

o

+90

o

+110

o

+∠QNL=360

o

∠QNL=70

∘

.

In △LMN,

∠QNL=∠MNL=70

o

∠LMN=∠MNL ...(Isosceles triangle property)

∴∠MNL=∠LMN=70

∘

.

We know, sum of angles of the △LMN,

∠MLN+∠LNM+∠LMN=180

o

∠MLN+70

o

+70

o

=180

o

∠MLN=180

o

−140

o

∠MLN=40

∘

.

Step-by-step explanation:

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