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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-example-1

1 Answer

6 votes

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Answer:

B. 50

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.

User Nantucket
by
8.7k points

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