Question

Solve for x. (parallelogram)

Answer 1

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 parallelogram

m∠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

$x+(2x+15)+x+(2x+15)=360\\x+2x+15+x+2x+15=360\\6x+30=360\\Subtracting\ 30\ from\ both\ sides\\6x+30-30=360-30\\6x=330\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{330}{6}\\x=55$

The value of x is 55°

Keywords: Parallelogram, angles

Learn more about parallelograms at:

• brainly.com/question/2116906
• brainly.com/question/2131336

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