Respuesta :

kudzordzifrancis

Answer:

[tex]41[/tex]

Step-by-step explanation:

Use the alternate interior angle property to write the equation;

[tex](3x-43)\degree=80\degree[/tex]

Reason: Alternate interior angles are congruent.

Solve the equation for [tex]x[/tex].

[tex]\Rightarrow 3x=80\degree+43\degree[/tex]

[tex]\Rightarrow 3x=123\degree[/tex]

Divide both sides by 3.

[tex]\Rightarrow x=\frac{123}{3}[/tex]

[tex]\Rightarrow x=41[/tex]

imlittlestar

Answer:

The value of x = 41

The correct answer is last option

Step-by-step explanation:

From the figure we can see that,

the line l parallel to line m

To find the value of x

The given two angles are alternate interior angles.Alternate interior angles are equal.

Therefore we can write,

3x - 43 = 80

3x = 80 + 43 = 123

x = 123/3 = 41.

Therefore the value of x = 41

The correct option is last option

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