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Tema [17]
2 years ago
6

Triangle L N M is cut by a bisector that forms a right angle with the base and splits the base into 2 congruent lengths. The len

gths of sides L N and N M are congruent. Angle L N M is (6 x + 1) degrees. Angle N M L is (4 x minus 11) degrees.
What is the measure of ∠NLM?

m∠NLM =
Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

The value of ∠NLM = 29 degree

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , angles and vertices.

It is given that a Δ LNM is cut by a bisector

The bisector forms a right angle at the base and splits in tnto two congruent lengths

LN = NM

∠LNM = 6x +1

∠NML = 4x -11

∠NLM = ?

∠NLM =∠NML  = 4x -11

as 6x +1 is the value of the angle bisector

By the angle sum property

4x -11 +4x -11 + 12x+2 = 180

20x = 200

x = 10

The value of ∠NLM =

4x - 11 = 4 * 10 - 11 = 29 degree

Therefore the value of ∠NLM = 29 degree

To know more about Triangle

brainly.com/question/2773823

#SPJ1

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