Below is ISOSCELES trapezoid RSTV. Find the value of x, then S
T
1170
R
(2x - 7)
v
X =
degrees

9514 1404 393

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.)

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer