Question

Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior angle d is 149 degrees. what is the measure of angle bcd? 25º 40º 140º 155º

Answer 1

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

What is a polygon?

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The sum of the exterior angles of a regular polygon will always equal 360

Given that;

• Exterior angle a = 25 degrees

• Exterior angle b =  146 degrees

• Exterior angle d = 149 degrees

• Exterior angle c = ?

25° + 146° + 149° + c = 360°

320° + c = 360°

c = 360° - 320°

c = 40°

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

Learn more about polygons here: brainly.com/question/22408868

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