If the exterior angle Y measures 153 o, the sum of angles X and Z would be _____ degrees.

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. In this case, the exterior angle \( Y = 153^\circ \). The sum of the interior angles \( X \) and \( Z \) is also equal to \( Y \).

Therefore, the sum of angles \( X \) and \( Z \) would be:

\[
X + Z = 153^\circ
\]

Would you like more details or further clarification?

Here are 5 related questions to explore further:

1. How can the exterior angle theorem be applied in different types of triangles?
2. What is the relationship between interior and exterior angles in a polygon?
3. If one of the interior angles is known, how can you find the other interior angle?
4. How does the sum of the interior angles of a triangle relate to its exterior angles?
5. Can exterior angles in different triangles be equal to each other?

**Tip:** Remember that in any triangle, the sum of the interior angles is always \(180^\circ\).

If the exterior angle Y measures 153 degrees, the sum of angles X and Z would be _____ degrees.

Find the sum of two interior angles X and Z in a triangle when the exterior angle Y measures 153 degrees. This problem demonstrates the Exterior Angle Theorem and is suitable for students in Grades 7-9.

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