The values of 'x' for the given three parallelograms are 10°, 10°, 6 respectively.
What is a parallelogram?
"A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure."
1. The two adjacent angles of the given parallelogram are:
80° and (11x - 10°)
We know the sum of two adjacent angles of a parallelogram is 180°.
Therefore, 80° + (11x - 10°) = 180°
⇒ 11x + 70° = 180°
⇒ 11x = 110°
⇒ x = 10°
2. The two adjacent angles of the given parallelogram are:
(9x + 15°) and (6x + 15°)
We know the sum of two adjacent angles of a parallelogram is 180°.
Therefore, (9x + 15°) + (6x + 15°) = 180°
⇒ 15x + 30° = 180°
⇒ 15x = 150°
⇒ x = 10°
3. The two opposite sides of the given parallelogram are:
7 and (x + 1).
We know, the length of two opposite sides of a parallelogram are equal.
Therefore, 7 = (x + 1)
⇒ x = 6
Learn more about a parallelogram here: https://brainly.com/question/17116526
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