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Find the measures of angles​ 1, 2, and 3.

​(Hint: Find mangle∠​1, then mangle∠​2, and then mangle∠​3.)
11
22
33
85 degrees85°
35 degrees35°
45 degrees45°

left parenthesis The figure is not to scale. right parenthesis(The figure is not to scale.)
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Part 1
The measure of angle 1 is enter your response heredegrees°.
​(Simplify your answer. Type an integer or a​ decimal.)

1 answer

To find measures of angles 1, 2, and 3, we need more information about the relationships among the angles in your geometry configuration. However, based on the degrees you provided (11, 22, 33, 85°; 35°; 45°), it seems like there are some angles involved.

Usually, if these angles are part of a geometric figure like a triangle or formed by intersecting lines, we can apply the following principles:

  1. For a triangle, the sum of the interior angles is 180 degrees.
  2. For straight angles, the sum of angles on a straight line is 180 degrees.
  3. Vertical angles are equal.
  4. Adjacent angles on a line sum up to 180 degrees.

Once we know how angles 1, 2, and 3 relate to each other and/or other angles, we can solve for their measures.

Could you provide the relationships or additional context regarding angles 1, 2, and 3? For instance, are they part of a triangle, formed by intersecting lines, or part of a specific geometric figure?