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
[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, angles
Learn more about parallelograms at:
- brainly.com/question/2116906
- brainly.com/question/2131336
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