Question

50 POINTS!!!!!!!!!!!!!!!!!!!!!!!! SOLVE THIS QUICKLY WITH AN EXPLANATION

Answer 1

Answer:

x = 22°

Step-by-step explanation:

Between two parallel lines, the opposite inside angles will be congruent. So, x is equal to angle V. The sum of the angles of any triangle will be 180°. Therefore, you can find the value of x by setting all the angles of the triangle SRV equal to 180°.

S = 5x + 4

R = 44

V = x

S + R + V = 180                                         <----- General equation

(5x + 4) + 44 + x = 180                              <----- Insert values

5x + 48 + x = 180                                      <----- Add 4 and 44

6x + 48 = 180                                           <----- Add 5x and x

6x = 132                                                    <----- Subtract 48 from both sides

x = 22                                                      <----- Divide both sides by 6