Respuesta :

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

The value of x = 105

The sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

Add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

What are interior angles for instance?

Interior angles are those that lie in the interior of a polygon. For instance, a triangle has three interior angles. The other way to outline indoor angles is "angles enclosed in the interior place of two parallel traces while intersected by means of a transversal are known as interior angles".

The exterior is described by means of Merriam-Webster as "being on an outside surface: located at the outside" and "appropriate for use on door surfaces."  Defines outdoors as "outer; being on the outer side," and "intended or suitable for outside use."

The system for calculating the scale of an interior perspective is the interior perspective of a polygon = sum of interior angles ÷ wide variety of aspects. The sum of outside angles of a polygon is 360°. The formulation for calculating the size of an outdoors perspective is the outside attitude of a polygon = 360 ÷ wide variety of aspects.

Learn more about interior angles here: https://brainly.com/question/24966296

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