Respuesta :

marcwong

Answer:

Step-by-step explanation:

By observation, you can see that the irregular polygon can be split into 4 triangles (see attached image). We know that the sum of the internal angles of 1 triangle is always 180 degrees. Hence the sum of all the internal angles of the polygon is,

180 degrees x 4 triangles = 720 degrees.

Therefore Angle B,  

= sum of internal angles - sum of all other known angles

= 720 - (133 +102+117+90+170)

= 108 degrees.

Ver imagen marcwong

The measure of angle B is 108 degrees.

What is angle sum property?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

We can divide the given polygon in split into 4 triangles.

Using, angle sum property,

The sum of the internal angles of triangle is always 180 degrees.

Hence the sum of all the internal angles of the polygon is,

=180 x 4 triangles

= 720 degrees.

Now, angle B

= 720 - (133 +102+117+90+170)

=720 -612

= 108 degrees.

Hence, angle B is 108 degrees.

Learn more about angle sum property here:

https://brainly.com/question/8492819

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