In this figure, 4 is an exterior angle to triangle VAUL. (A) What is the angle measurement of angle 3? Explain the angle relationship you used.

(B) What is the angle measurement of angle 4? Explain the angle relationship you used.

(C) What is the angle relationship between angles 3 and 4?
What is the angle relationship between angles 1, 2, and 3?
What do you notice that is similar between the two?
What is different?

(D) Which two angles in the triangle equal angle 4? Use your work from part c to figure out why this is the case, and explain your conclusion.

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answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.