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mathstudent55

The sum of the measures of the angles of an n-sided polygon is

(n - 2)180

You have a 4-sided polygon, so (4 - 2)180 = 2(180) = 360.

The sum of the measures of the angles of the polygon is 360.

Subtract the three measures you have from 360 to find the measure of the 4th angle.

360 - 115 - 65 - 65 = 115

Answer: D. 115 deg

The measure of angle ∠B will be 115°. Then the correct option is D.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The measure of angle ∠B will be

65° + 65° + 115° + ∠B = 360°

                            ∠B = 115°

Then the correct option is D.

More about the trapezium link is given below.

https://brainly.com/question/22607187

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