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What is the measure of the missing angle 25 112 100 58 x

What is the measure of the missing angle 25 112 100 58 x-example-1
User Yisu
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6 votes

Answer:


245^\circ

Explanation:

Add two lines as shown in the attached image. Now the polygon is divided up into 3 triangles. The sum of angles of a triangle is 180 degrees.

The angle sum in all 3 triangles is 3 x 180 = 540 degrees.

The sum of the angles given in the figure is 295 degrees. Subtract this from the 540 degrees to get the "missing" angle, x.

x = 540 - 295 = 245 degrees.

What is the measure of the missing angle 25 112 100 58 x-example-1
User Hatef
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