Question

Below is ISOSCELES trapezoid RSTV. Find the value of x, then S

T
1170
R
(2x - 7)
v
X =
degrees

Answer 1

9514 1404 393

Answer:

• ∠S = 117°
• ∠R = 63°
• x = 35

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.)