Let x and y be the angles
X= 3•y-8
X+ y = 180
Substitute first relationship in second
3y-8+y=180
4y=180+8
Y =188/4= 47 degrees
X= 180-47=133 degrees
The measure of the large angle is
133 degrees
<h3>
Answer: Choice C</h3>
Work Shown:

So that's why the answer is choice C
The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.
Theta has a reference angle of 30° and is in Quadrant I or II.
Sin(theta) = ½
Basic angle: 30
<h3>What is the reference angle?</h3>
The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.
Angles: 30,
180-30 = 150
Because sin is positive in quadrants 1 and 2.
To learn more about the terminal side visit:
brainly.com/question/1982296
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