Respuesta :

bcalle
Angle L and Angle M are congruent base angles.
Angle N is half of the apex angle. (Look closely and you can see the arrows).
2(6x + 1) + 2(4x - 11) = 180
Distribute the 2's
12x + 2 + 8x - 22 = 180
Combine like terms
20x - 20 = 180
Add 20 to both sides
20x = 200
Divide both sides by 20
x = 10
Plug 10 into the base angle expression.
4x - 11;
4(10) - 11 = 40 - 11 = 29
Angle NLM = 29 degrees

abidemiokin

The measure of angle m<NLM is 61 degrees

From the diagram given, the sum of the angles given is complementary Based on the statement

6x + 1 + 4x - 11 = 90

10x - 10 = 90

Add 10 to both sides

10x - 10 + 10 = 90 + 10

10x = 100

x = 100/10

x = 10

Since the angle m<NLM = 6x + 1

m<NLM = 6(10) + 1

m<NLM = 61 degrees

Hence the measure of angle m<NLM is 61 degrees

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