The measure of [tex]\theta[/tex] is 68 degrees
How to solve the angle?
The complete question is in the attached image
The value of [tex]\theta[/tex] is calculate using the following cosine function
[tex]\cos(\theta) = \frac 38[/tex]
Evaluate the quotient'
[tex]\cos(\theta) = 0.375[/tex]
Take the arc cos of both sides
[tex]\theta = \cos^{-1}(0.375)[/tex]
Evaluate the arc cos
[tex]\theta = 67.97[/tex]
Approximate to the nearest degree
[tex]\theta = 68[/tex]
Hence, the measure of [tex]\theta[/tex] is 68 degrees
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