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3 years ago

Given ΔMNO, find the measure of ∠LMN.

Mathematics

2 answers:

Viefleur [7K]3 years ago

7 0

Answer:

Option D.

Step-by-step explanation:

Given information: MN ≅ NO

Isosceles triangle property : If two sides of a triangle and congruent then the angles opposite those sides are congruent.

Using Isosceles triangle property we get

$\angle NMO\cong \angle NOM$

Segment LM forming a straight angle with segment MO.

$\angle LMN+\angle NMO=180$

$\angle NMO=180-\angle LMN$

Segment OP forming a straight angle with segment MO.

$\angle NOP+\angle NOM=180$

$\angle NOM=180-\angle NOP$

Since $\angle NMO\cong \angle NOM$ , so

$180-\angle LMN\cong 180-\angle NOP$

$\angle LMN\cong \angle NOP$

It is given that measure of angle NOP is 104 degree.

$m\angle LMN=104^{\circ}$

Therefore, the correct option is D.

Novay_Z [31]3 years ago

3 0

Answer:

104°

Step-by-step explanation:

If segments NO and NM are congruent, then angles NMO and NOM are congruent. So, their supplements, angles NML and NOP are congruent. That is ...

∠NML ≅ ∠NOP = 104°

∠NML = 104°

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