https://file.aiquickdraw.com/mathbot/file/17259753292675zz4muke.jpg

To solve for the value of \( k \) in this triangle, we can use the fact that the sum of the interior angles of any triangle is always 180°.

The triangle in the image has two known angles:
- One angle is 44°.
- The second angle is 78°.

We can calculate the third angle, \( k \), by subtracting the sum of the two known angles from 180°.

\[
k = 180^\circ - (44^\circ + 78^\circ)
\]
\[
k = 180^\circ - 122^\circ = 58^\circ
\]

So, the correct value of \( k \) is 58°.

Let me know if you'd like more details! Here are some related questions to practice:

1. If one angle of a triangle is 90°, what is the sum of the other two angles?
2. How do you find the missing angle in an isosceles triangle if two angles are given?
3. What is the sum of the exterior angles of any polygon?
4. Can a triangle have an interior angle greater than 90°?
5. How would you solve for \( k \) if the triangle were a right triangle?

**Tip:** Always remember that the sum of interior angles in any triangle is always 180°, which is a useful property for solving many geometry problems!

Find the value of k. The diagram is not to scale. Given angles are 44° and 78°.

Learn how to find the missing angle in a triangle where two angles are 44° and 78°. This geometry problem uses the Triangle Angle Sum Theorem and is ideal for students in Grades 6-8.

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