9514 1404 393
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, you know right away that angle S is the same as angle T, so angle S = 117°.
In order to find x, we need to know angle R. Angle R is the supplement of angle S, so ...
angle R = 180° - angle S = 180° -117°
angle R = 63°
Knowing this, we can find x:
(2x -7)° = 63°
2x = 70 . . . . . . . . . divide by °, add 7
x = 35 . . . . . . . . . . divide by 2
_____
Additional comment
Of course, angle V = angle R = 63°. We give you all of the angles in addition to the value of x, because there are obviously different versions of this question. (Your text asks for angle S; the picture asks for angle R.)
