The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B? Enter your answer in the box. m∠B = ° An irregular pentagon labeled ABCDE with angle A one hundred thirty degrees, angle D seventy five degrees, angle B parenthesis x minus five parenthesis degrees, angle C parenthesis x plus thirty parenthesis degrees, angle E parenthesis x minus thirty five parenthesis degree

the answer is 110

Step-by-step explanation:

In a regular pentagon the angles are 112. Take that number and replace x with 112

112-5 = 107

112+30 = 142

112-35 = 77

Take those three numbers and subtract them from the sum 540 provided as a total of all five angles.

540-107-142-77-130-75 = 9

You have 3 missing angles.

Nine divided by three is three.

Add three to each of the numbers you got for the missing angles.

107+3=110

142+3=145

77+3=80

Those are your missing angles.

I'm sure there is an shorter way of explaining it but this is how I did it and I got a 100 on the test.