Since the quadrilateral is a parallelogram, opposite sides are equal in length. Therefore, QT = (3x + 5) and TQ = (3x + 5).
Also, in a parallelogram, adjacent angles are supplementary. This means that angle Q + angle T = 180 degrees.
Given that angle T = (9x - 17), we can write the equation:
angle Q + (9x - 17) = 180
Since angle Q and angle T are opposite angles, they are equal. Therefore, angle Q = (9x - 17).
Substitute that into the equation:
(9x - 17) + (9x - 17) = 180
18x - 34 = 180
Now, solve for x:
18x = 214
x = 214 / 18
x = 11.89
Therefore, the value of x is approximately 11.89.
the quadrilateral is a parallelogram and has measurements of QT=(3x+5) and
interior angle T (9x-17). what is the value of x?
1 answer
1 answer