Respuesta :

kudzordzifrancis

Answer:

[tex]m\angle ABC=35\degree[/tex]

Step-by-step explanation:

Corresponding angles are congruent.

Use this property to write the equation;

[tex](3x-70)\degree=x\degree[/tex]

Group similar terms;

[tex]3x-x=70[/tex]

Simplify;

[tex]2x=70[/tex]

[tex]\Rightarrow x=35[/tex]

[tex]m\angle ABC=x\degree[/tex], corresponding angles are equal

[tex]m\angle ABC=35\degree[/tex]

imlittlestar

Answer:

the correct answer is third  option m<ABC = 35°

Step-by-step explanation:

From the given figure we can see that, two corresponding angles.

Corresponding angles are equal.

To find the value of x

we can write,

x =  (3x - 70)

3x - 70 = x

3x - x = 70

2x = 70

x 70/2 = 35

To find the value of m<ABC

m<ABC = 3x - 70 = 3*35 - 70 = 105 - 70 = 35

Therefore m<ABC = 35°

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