Geometry

Question Analysis

This question involves the concept of supplementary angles.

 

Key Concept Explanation

Supplementary angles are two angles whose sum equals 180°. This relationship is crucial for solving angle - measure problems in geometry.

 

Step-by-Step Solution

1. Since ∠M and ∠N are supplementary, we have the equation ∠M + ∠N = 180°.

2. Given that the measure of ∠M is 125°. Substitute this value into the equation: 125°+ ∠N = 180°.

3. To find the measure of ∠N, subtract 125° from both sides of the equation. So, ∠N=180° - 125° = 55°.

 

Option Analysis

A.55°: Correct. Because 125°+55° = 180°, which satisfies the definition of supplementary angles.

B.45°: Incorrect. If ∠N = 45°, then 125°+45° = 170°≠180°.

C.35°: Inc...