give answer in 2 step with explanation at the end of each step and final answer at the end.

The diagram ir not to scale. Do all calculations in the space provided. All work must be shown for full m

Question

give answer in 2 step with explanation at the end of each step and final answer at the end.

The diagram ir not to scale. Do all calculations in the space provided. All work must be shown for full marke. You must a proper notation throughout calculations. All members written in your solutions should be to at least 2 decimal places, but you MUST carry the full decimal throughout your calcula Round off your answer only at the very last step. You will each do your own individual assignment, each person having suntque numbers 
Let & represent the first two digits in your student number. If your first digit is a "9", then make it a "6" Let represent the first digit in your student number squared, plus 25. If your first digit is a "9", then make it a "6" 
Let represent the sum of the digits in your student number. 
class-Thursday, May 29, 2025 and Friday, May 30, 2025. 
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VIPSolutions · Accepted Answer

Let’s break down the solution for **angle N** step by step, using the information and diagram provided.

---

### **Step 1: Analyze Triangle NMK**

From the diagram:
- $ \angle MNK = 73^\circ $ (given)
- $ \angle NKM = 90^\circ $ (marked as a right angle at K)

Since the sum of angles in a triangle is $ 180^\circ $:

$$
\angle N = 180^\circ - \angle MNK - \angle NKM
$$

$$
\angle N = 180^\circ - 73^\circ - 90^\circ
$$

$$
\angle N = 17^\circ
$$

**Explanation:**  
We used the triangle sum property. In triangle NMK, two angles are given (one right angle and one 73°). Subtracting both from 180° gives us the measure of angle N.

---

### **Step 2: Check Triangle Labeling and Required Angle**

- The triangle NMK is clearly marked, with N as the vertex opposite the right angle and the 73° angle.
- There is no indication that any extra calculation or trigonometric ratio is required since the triangle is simple and all needed information is directly provided.

**Explanation:**  
Verifying the triangle and angles in the diagram shows that all necessary data was already included. There is no ambiguity about which angle is being asked for.

---

## **Final Answer**

$$
\boxed{17^\circ}
$$

Therefore, the measure of angle N is **17 degrees**.

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