1luuhslime
1luuhslime 1luuhslime
  • 06-11-2020
  • Mathematics
contestada

13. What is the value of x?
t
(2x +40)
(x +90°
С
D
A. 25
B. 50
C. 75
D. 85

13 What is the value of x t 2x 40 x 90 С D A 25 B 50 C 75 D 85 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 06-11-2020

9514 1404 393

Answer:

  B.  50

Step-by-step explanation:

The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.

  2x +40 = x +90

  x = 50 . . . . . . . . . . . subtract x+40

The value of x is 50.

_____

Check

2x+40 = 2×50 +40 = 140

x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be

___

Additional comment

The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.

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