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The problem asks to find the value of \( k \) in a triangle, given two angles of \( 60^\circ \) and \( 24^\circ \). 

### Step-by-step solution:

In any triangle, the sum of all interior angles must equal \( 180^\circ \).

Thus, we can write the equation:

\[
60^\circ + 24^\circ + k^\circ = 180^\circ
\]

Simplifying:

\[
84^\circ + k^\circ = 180^\circ
\]

Solving for \( k \):

\[
k = 180^\circ - 84^\circ = 96^\circ
\]

### Final answer:
The value of \( k \) is \( 96^\circ \), which corresponds to option **b**.

Would you like further details or explanations on this solution?

Here are 5 related questions you might find useful:

1. What is the sum of the interior angles of a quadrilateral?
2. How do you calculate the missing angle in a right triangle?
3. What is the exterior angle theorem for a triangle?
4. How can you determine if a triangle is acute, obtuse, or right-angled based on its angles?
5. What are supplementary and complementary angles, and how do they relate to triangle angle sums?

**Tip:** Remember, in any triangle, the sum of the three angles will always be \( 180^\circ \), which helps in calculating unknown angles when two are given.

Find the value of k in a triangle where two angles are 60° and 24°.

Learn how to find the missing angle k in a triangle where the given angles are 60° and 24°. This step-by-step solution explains the angle sum theorem and how to use it to solve the problem. Suitable for students in Grades 6-8.

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