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°
40 degrees40°

left parenthesis The figure is not to scale. right parenthesis(The figure is not to scale.)
measure of 3

1 answer

It seems that you're dealing with a geometry problem involving angles. However, I'm unable to see the figure you're referring to, so I will need to rely on the provided hints and angle measurements.

From the context you provided, here’s how you could generally approach finding the measures of angles 1, 2, and 3 based on given angles:

  1. Find m∠1: You need to determine what angle 1 is related to. Since the hint suggests finding m∠1 first, look for supplementary or complementary angles relative to the angles given (75°, 30°, 40°) or if any relationships (like vertical angles or alternate interior angles) can help.

  2. Find m∠2: After finding m∠1, apply similar logic to determine m∠2. Look for relationships between angles that could give you this measure.

  3. Find m∠3: Finally, examine how m∠3 relates to m∠1 and m∠2 or possibly the given angles.

Without the diagram or further information about the relationships between these angles, I can't provide the exact measures for angles 1, 2, and 3. Please provide specific relationships (like whether angles are vertical, supplementary, etc.), or describe the figure for more tailored assistance.

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