Answer :

JennyTheBest813

Answer:

720º

Step-by-step explanation:

We can use vertical angles to figure this out. We can see that each of the unmarked angles in the triangles is a vertical angle to an empty space. A full circle has the measure of 360º. We need half of that which is 180º.

The sum of the angle measures of a triangle is 180º. We have five triangles so the total angle meaure is 900º.

However, we need to subtract the 180º to get 720º.

The sum of the marked angles, which are made by the coinciding of the five line segments at a point, is 720 degrees.

What are the angles formed by intersecting line?

When the two lines crosses each other from a point of Intersection, some angles formed between them. Opposite angles formed by the interacting lines are equal.

Five line segments coincide at a point as shown. These line segment makes five triangles.

The measure of all the angle of a triangle is 180 degree. Thus, the measure of all the angle of five triangles is,

[tex]5\times180^o=900^o[/tex]

One full revolution is equal to 360 degrees. Here, the angles which are not marked are vertical angles with measure half of the revolution (180 degrees).

Thus, the measure of the marked angles is,

[tex]900-180=720^o[/tex]

Thus, the sum of the marked angles, which are made by the coinciding of the five line segments at a point, is 720 degrees.

Learn more about the angles formed by intersecting line here;

https://brainly.com/question/2065148

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