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To solve for the exterior angle \( y^\circ \), we can use the **exterior angle theorem**. This theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.

In the given triangle:
- The two non-adjacent interior angles are \( 40^\circ \) and \( 30^\circ \).

Thus, the exterior angle \( y^\circ \) is calculated as:
\[
y = 40^\circ + 30^\circ = 70^\circ
\]

So, the measure of the exterior angle is \( 70^\circ \).

Would you like more details or have any questions?

Here are five related questions to practice:
1. What is the exterior angle theorem?
2. If one of the interior angles is changed, how would that affect the exterior angle?
3. How do you calculate the third interior angle of a triangle?
4. What is the sum of the interior angles of any triangle?
5. Can you have an exterior angle larger than \( 180^\circ \)?

**Tip:** Always remember, the sum of the interior angles of a triangle is always \( 180^\circ \).

Find the measure of the exterior angle of a triangle with interior angles of 40° and 30°.

Learn how to find the exterior angle of a triangle using the Exterior Angle Theorem. This example features a triangle with interior angles of 40° and 30°, and shows the step-by-step calculation to determine the exterior angle.

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