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Question
The following angles are adjacent. Find the measure of the missing angle, x.

An illustration shows three rays from a common origin.

(1 point)
Responses

26°
26degree

12°
12degree

130°
130degree
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1 answer

To find the measure of the missing angle \( x \) when given adjacent angles, you can use the fact that the sum of the measures of angles around a point is \( 360° \) or that adjacent angles on a straight line sum to \( 180° \). Since the details of the angles aren't fully described, I’ll cover the basic scenarios.

If the adjacent angles add up to \( 180° \) and one angle is given, you can calculate \( x \) using:

\[ x = 180° - \text{(measure of the known angle)} \]

If the adjacent angles add up to \( 360° \) (as in a full circle), you can use:

\[ x = 360° - \text{(sum of the measures of the known angles)} \]

Assuming we only have a single angle (let's say \( 130° \) is known):

  1. If \( x \) is adjacent to \( 130° \):

    • Then \( x + 130° = 180° \)
    • So, \( x = 180° - 130° = 50° \)
  2. If there’s another angle (not mentioned), you’d calculate depending on what is provided.

However, based on the options provided (26°, 12°, 130°), without specific details about the known angle or angles, I can't make a definite calculation. If you have further context or specific angles stated as given, please share!