if angle 5 measures 150 degrees, what is the measure of angle 8?
a.150 degrees
b.130 degrees
c.100 degrees
d.50 degrees

A. 150 degrees

Step-by-step explanation:

Angles opposite each other are equal. angle 5 and angle 8 are opposite each other, which means that angle 8 is also 150 degrees.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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