Can a triangle have
three angles whose measures are `46^(@), 58^(@) and 76^(@)`

Answer

To determine if a triangle can have angles measuring 46°, 58°, and 76°, we need to check if the sum of these angles equals 180°.

**Step 1: Write down the angles.**
The angles given are:
- Angle 1 = 46°
- Angle 2 = 58°
- Angle 3 = 76°

**Step 2: Add the angles together.**
Now, we will calculate the sum of these angles:
\[ \text{Sum} = 46° + 58° + 76° \]

**Step 3: Perform the addition.**
Let's add them step by step:
1. First, add 46° and 58°:
\[ 46° + 58° = 104° \]
2. Next, add the result to 76°:
\[ 104° + 76° = 180° \]

**Step 4: Check the result.**
The total sum of the angles is:
\[ 180° \]

**Step 5: Conclusion.**
Since the sum of the angles is 180°, we can conclude that a triangle can indeed have angles measuring 46°, 58°, and 76°.

**Final Answer:**
Yes, a triangle can have angles measuring 46°, 58°, and 76°.

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