Angles T and V of the parallelogram are equal to 91°.
Calculating the Value of x
In the parallelogram TUVS, adjacent angles U and V are given as,
U = 4x+9
V = 6x-29
Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.
4x+9 + 6x-29 = 180
10x - 20 =180
10x = 200
x = 20
Calculating the Angles of the Parallelogram
∠U = 4x + 9
∠U = 4(20) + 9
∠U = 80 + 9
∠U = 89°
∠V = 6x - 29
∠V = 6(20) - 29
∠V = 120 - 29
∠V = 91°
According to the properties of a parallelogram, opposite angles are of equal measure.
∴ ∠T = ∠V and ∠S = ∠U
⇒ ∠T = 91° and ∠S = 89°
Learn more about a parallelogram here:
brainly.com/question/1563728
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Answer:
The answer is 
Step-by-step explanation:
The expression is
![\frac{7\pi }{12}^{c}\\= \frac{7\pi }{12}*\frac{180}{\pi }^{0} \,;[1^{c}=\frac{180}{\pi}^{0}]\\=7*15\\=105^{0}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Cpi%20%7D%7B12%7D%5E%7Bc%7D%5C%5C%3D%20%5Cfrac%7B7%5Cpi%20%7D%7B12%7D%2A%5Cfrac%7B180%7D%7B%5Cpi%20%7D%5E%7B0%7D%20%5C%2C%3B%5B1%5E%7Bc%7D%3D%5Cfrac%7B180%7D%7B%5Cpi%7D%5E%7B0%7D%5D%5C%5C%3D7%2A15%5C%5C%3D105%5E%7B0%7D)
Hope you have understood this....
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Answer:9
Step-by-step explanation:
Square root of 81 is9.
(5x^2-15x) (-2x+6)
5x (x-3) -2 (x-3)
(5x-2) (x-3)
