Question

Use the image to answer the question.



An illustration shows a triangle with an interior angle at the left vertex of 41 degrees and an interior angle at the right vertex of 53 degrees. A line extending from the top vertex forms an exterior angle that is labeled x.
Find angle x
.

(1 point)
Responses

139°
139 degrees

86°
86 degrees

94°
94 degrees

127°

1 answer

To find the exterior angle \( x \) of the triangle, we can use the fact that the exterior angle is equal to the sum of the two non-adjacent interior angles.

  1. The interior angles given are:

    • Left vertex: 41°
    • Right vertex: 53°
  2. The exterior angle \( x \) can be calculated as: \[ x = 41° + 53° \]

  3. Calculate \( x \): \[ x = 41° + 53° = 94° \]

Thus, the value of angle \( x \) is \( 94° \).

So, the correct response is: 94°

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