In the given parallelogram QRST, x = 7°.
What are adjacent angles?
In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.
How do we solve the given question?
In the question, we are shown a parallelogram QRST and are asked to find the value of x.
We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.
∠TQR = 80°, ∠QRS = (14x + 2)°
Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°
∴ ∠TQR + ∠QRS = 180°
or, 80° + (14x + 2)° = 180°
or, 14x = 180° - 80° -2° = 98°
or, x = 98°/14 = 7°
∴ In the given parallelogram QRST, x = 7°.
Learn more about Parallelograms at
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