Questions: If m angle 1=105°, what is m angle 2 ? degrees

If m angle 1=105°, what is m angle 2 ? degrees
Transcript text: If $m \angle 1=105^{\circ}$, what is $m \angle 2 ?$ $\square$ degrees
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Solution

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Solution Steps

Step 1: Identify the relationship between angles 1 and 2

Angles 1 and 2 are formed when a transversal intersects two parallel lines. They are same-side exterior angles.

Step 2: State the property of same-side exterior angles

Same-side exterior angles are supplementary, meaning their sum is 180 degrees.

Step 3: Calculate the measure of angle 2

Since angles 1 and 2 are supplementary, and angle 1 measures 105 degrees, angle 2 measures 180 - 105 = 75 degrees.

Final Answer

75

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