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In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:
Subtract 6 from both sides:
Subtract 6x from both sides:
Divide both sides by 6 to get x by itself:
x will equal 10.
Set angles A and D to equal each other:
Divide both sides by 3 to get y by itself:
y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.
Answer: The sum of the interior angles of a polygon shown in the picture is .
Step-by-step explanation:
The given polygon is a regular pentagon having 5 sides.
The sum of the interior angles of a regular polygon is given by :-
, wherer n= number of sides of the regular polygon.
Since it has 5 sides, then the sum of the interior angles of a polygon would be
Hence, the sum of the interior angles of a polygon shown in the picture is .