The value of x is 55°Step-by-step explanation:Given figure is a parallelogram.In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.This means that,in the given parallelogramm∠A=m∠C=x°m∠B=m∠D=(2x+15)°The sum of interior angles of a parallelogram is 360 degrees.So,m∠A+m∠B+m∠C+m∠D=360°Putting the values of angles[tex]x+(2x+15)+x+(2x+15)=360\\x+2x+15+x+2x+15=360\\6x+30=360\\Subtracting\ 30\ from\ both\ sides\\6x+30-30=360-30\\6x=330\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{330}{6}\\x=55[/tex]The value of x is 55°Keywords: Parallelogram, anglesLearn more about parallelograms at:brainly.com/question/2116906brainly.com/question/2131336#LearnwithBrainly