Respuesta :

kudzordzifrancis

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

By the exterior angle theorem,

[tex](45x)\degree=(57+x)\degree+(26x)\degree[/tex]

Group like terms and solve for x.

[tex]45x-26x-x=57[/tex]

[tex]19x=57[/tex]

Divide both sides by 19;

[tex]x=3[/tex]

zainebamir540

Answer:

x = 3 is the answer.

Step-by-step explanation:

We have given a triangle.

We have to find the value of x in the triangle.

As we know that:

Exterior angle =sum of opposite interior angles

In the figure, the Exterior angle = 45x

And the sum of  opposite interior angles = (25x)(57+x)

45x = (25x)+(57+x)

45x = 25x+57+x

45x-25x-x = 57

45x-26x = 57

19x = 57

x= 57/19

x = 3 is the answer.

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