https://file.aiquickdraw.com/mathbot/file/1727353884516i0siixkt.jpg

The image shows a triangle with angles labeled 46° and 49°. We need to find the measure of angles 3 and 4.

### Step-by-step solution:

1. **Understanding the problem:**
   - The sum of the interior angles of a triangle is always 180°.
   - Two angles of the triangle are given as 46° and 49°.

2. **Finding the third angle (angle 3):**
   - The measure of the third angle can be found by subtracting the sum of the other two angles from 180°:
   \[
   \text{Angle 3} = 180^\circ - 46^\circ - 49^\circ
   \]
   \[
   \text{Angle 3} = 180^\circ - 95^\circ = 85^\circ
   \]

Thus, the measure of angle 3 is **85°**.

Would you like further details or to ask additional questions?

### Follow-up Questions:
1. What are the basic properties of a triangle's angles?
2. How can we check if a triangle is valid based on its angles?
3. What happens if the sum of the angles is not 180° in a polygon?
4. Can you calculate the angles of an obtuse triangle?
5. How do the angles affect the type of triangle (scalene, isosceles, etc.)?

### Tip:
Always remember that the sum of interior angles in any triangle is **180°**, and this rule can help solve for unknown angles!

Find the measures of angle 3 and angle 4. The triangle has two angles given: 46° and 49°.

Learn how to find the measure of angle 3 in a triangle when two angles (46° and 49°) are provided. This problem uses the interior angle sum theorem and geometric concepts, suitable for students in Grades 6-8.

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