RSTU is a parallelogram. If m∠TSV = 31° and m∠SVT = 126°, explain how you can find the measure of ∠URV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.

m∠URV = 23°

Step-by-step explanation:

RSTU is a parallelogram   Given

SU and RT are diagonals

Therefore, SU bisect angle ∠TSR and RT bisects ∠SRU

m∠TSV = 31°  Given

m∠SVT = 126° Given

∴ m∠STV = 180° - (m∠TSV + m∠SVT) = 180° - (126° + 31°) = 23° (Sum of angles in a triangle ΔSVT = 180°)

m∠STV = 23° = m∠URV (Alternate angles of parallel lines RU and ST of parallelogram RSTU)

m∠URV = 23°

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.