Question

What is the measure of angle X?

Enter your answer as a decimal in the box. Round only your answer to the nearest hundredth.

Answer 1

Using one of the above equations, you can find the value of x.
tan x = 84/13 => x = tan-¹(84/13)
x = 81.20°

Hope that helps

Answer 2

`m<X=81.20\°`

Explanation:

we know that

In the right triangle XYZ

`cos(X\°)=(XY)/(XZ)` -----> adjacent side to angle X divided by the hypotenuse

substitute the values

`cos(X\°)=(13)/(85)`

`(m<X)=arccos((13)/(85))=81.20\°`