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
The value of x is 55°
Keywords: Parallelogram, angles
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