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This is a problem involving the angles of a triangle. In any triangle, the sum of the interior angles always adds up to 180°.

In the given triangle, two of the angles are 37° and 64°, and we need to find the third angle, denoted as \(x\).

We can set up the equation:

\[
37^\circ + 64^\circ + x^\circ = 180^\circ
\]

Now, let's solve for \(x\):

\[
x = 180^\circ - (37^\circ + 64^\circ)
\]
\[
x = 180^\circ - 101^\circ
\]
\[
x = 79^\circ
\]

So, the value of \(x\) is \(79^\circ\).

Would you like more details or have any other questions?

Here are 5 related questions:
1. How do you calculate the sum of interior angles for a triangle?
2. What would happen if the triangle was not a valid triangle (i.e., angles don’t sum to 180°)?
3. How can we classify the triangle based on its angles?
4. What are some common types of triangles based on angles (e.g., acute, obtuse)?
5. Can the Pythagorean theorem be used for this triangle?

**Tip:** Always check that the sum of angles in any triangle is 180° to ensure you’ve calculated correctly!

Find the value of x in a triangle where two angles are 37° and 64°.

Learn how to find the missing angle in a triangle where two angles are 37° and 64°. Using the triangle sum theorem, this step-by-step solution is ideal for students in Grades 6-8.

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