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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
75 degrees75°
30 degrees30°
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 solve for the measures of angles 1, 2, and 3, we need to use the information and relationships between the angles you've provided.

Step 1: Find the measure of angle 1.

If angle 1 is given as \(75^\circ\), then:

  • \[ m\angle 1 = 75^\circ \]

Step 2: Find the measure of angle 2.

You mentioned angles labeled as "22" and "30 degrees." Assuming angle 2 is \(30^\circ\), we have:

  • \[ m\angle 2 = 30^\circ \]

Step 3: Find the measure of angle 3.

You also mentioned angles labeled as "33" and "45 degrees." Assuming angle 3 is \(45^\circ\), we have:

  • \[ m\angle 3 = 45^\circ \]

Final Answers

  • The measure of angle 1 is 75 degrees.
  • The measure of angle 2 is 30 degrees.
  • The measure of angle 3 is 45 degrees.

If there are relationships between these angles or specific relationships based on a diagram that you're analyzing (like supplementary or complementary angles), please provide those details so I can assist you further!