https://file.aiquickdraw.com/mathbot/file/1728520799912gpyhvu4z.jpg

We are given a diagram with angles and asked to find the value of \( y^\circ \).

### Step 1: Understand the setup
- The diagram shows a triangle with three angles: \( y^\circ \), \( x^\circ \), and \( 35^\circ \).
- The exterior angle adjacent to \( x^\circ \) is \( 125^\circ \).

### Step 2: Use the Exterior Angle Theorem
The exterior angle \( 125^\circ \) is equal to the sum of the two opposite interior angles, \( y^\circ \) and \( 35^\circ \).

So, we can set up the equation:
\[
y + 35^\circ = 125^\circ
\]

### Step 3: Solve for \( y \)
\[
y = 125^\circ - 35^\circ = 90^\circ
\]

Thus, the value of \( y \) is \( \boxed{90^\circ} \).

### Conclusion
The correct answer is 90°.

Let me know if you'd like more details or further explanations! Here are five related questions to deepen your understanding:

1. What is the Exterior Angle Theorem, and how is it generally used?
2. Can the sum of interior angles of any triangle ever exceed 180°?
3. How can we calculate the third angle of a triangle when two angles are known?
4. How does the concept of supplementary angles apply in this scenario?
5. Could this problem be solved using any other geometric principles?

**Tip:** In any triangle, the sum of all three interior angles is always 180°.

Find the value of y from the given triangle with angles 125°, x°, and 35°.

This problem focuses on using the Exterior Angle Theorem to find the missing interior angle of a triangle. It provides a step-by-step guide to solving the equation for y when given an exterior angle and another interior angle.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation