The value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.
What is right angle triangle property?
In a right angle triangle, the ratio of the opposite side to the hypotenuse side is equal to the sine angle between adjacent side and hypotenuse, side.
[tex]\sin\theta=\dfrac{b}{c}[/tex]
Here, (b) is the opposite side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between adjacent side and hypotenuse, side.
In the given figure, the hypotenuse side is 9 units long and opposite side is 7 units long.
The angle between adjacent side and hypotenuse is x degrees. Thus, by the right angle triangle property,
[tex]\sin x=\dfrac{7}{9}\\x=\sin^{-1}(0.778)\\x\approx51^o[/tex]
Hence, the value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.
Learn more about the right angle triangle property here;
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