The sum of the opposite sides of a parallelogram is equal to 180 degrees.
The value of x is 20.
Given
Figure PQRS is a parallelogram.
The expressions represent the measures of the angles in degrees.
What is the property of a parallelogram to calculate the angles?
The sum of the opposite sides of a parallelogram is equal to 180 degrees.
The opposite sides of a parallelogram are congruent.
\(\rm m\angle 1+ m\angle 2 = 180\\\)
The measurement of angle 1 is (20+2x) degrees.
The measurement of angle 2 is (6x) degrees.
Therefore,
The value of x is,
\(\rm m\angle 1+ m\angle 2 = 180\\\\20+2x+6x=180\\\\8x=180-20\\\\8x=160\\\\x=\dfrac{160}{8}\\\\x=20\)
The value of x is 20.
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