Quadrilateral RSTU, diagonals SU and RT intersect at point V. RSTU is a parallelogram. If m∠SRV = 48° and m∠SVR = 54°, explain how you can find the measure of ∠TUV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response

∠TUV = 78°

Step-by-step explanation:

According to the Question,

(For Diagram please find in attachment)

Thus, ∠RSV + ∠SRV + ∠SVR = 180°

∠RSV + 48° + 54° = 180°

∠RSV = 180° - 102°

∠RSV = 78°

So, ∠RSV = ∠TUV   (alternative angle)

∠TUV = 78°

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step-by-step explanation:

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.