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Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) class=

Answer :

MrRoyal

The value of x in the triangle is 28.1 degrees

How to solve for x?

The given triangle is a right triangle.

So, the relationship between the sides and angle x is:

sin(x) = opposite/hypotenuse

This gives

sin(x) = 8/17

Evaluate the quotient

sin(x) = 0.4706

Take the arc sin of both sides

[tex]x = \sin^{-1}(0.4706)[/tex]

Evaluate

x = 28.1

Hence, the value of x in the triangle is 28.1 degrees

Read more about right triangles at:

https://brainly.com/question/2437195

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