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To find the value of \( x \) in the triangle, we can use the **angle sum property** of a triangle, which states that the sum of the angles in any triangle is always \( 180^\circ \).

Given:
- One angle is \( 42^\circ \),
- Another angle is \( 87^\circ \),
- The third angle is \( x^\circ \).

The sum of the angles in the triangle is:
\[
42^\circ + 87^\circ + x^\circ = 180^\circ
\]

Now solve for \( x \):
\[
x = 180^\circ - (42^\circ + 87^\circ)
\]
\[
x = 180^\circ - 129^\circ = 51^\circ
\]

Thus, the value of \( x \) is \( 51^\circ \).

Would you like further clarification on this problem or the reasoning behind the angle sum property?

Here are some additional questions related to this topic:
1. What is the angle sum property for quadrilaterals?
2. Can the sum of angles in any triangle ever be greater than 180°?
3. How can we classify this triangle based on its angles?
4. How can we apply this property in a non-Euclidean geometry?
5. What happens to angle sums in a triangle on a curved surface?

**Tip:** When solving for unknown angles in any polygon, always remember that the sum of angles in a triangle is always 180°.

Find the value of x in the triangle with angles 42° and 87°.

Learn how to find the unknown angle x in a triangle using the Triangle Angle Sum Theorem. Given angles of 42° and 87°, solve for the missing angle step by step. Suitable for students in Grades 6-8.

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