Help me find z and y. angle 1 is 25y+36. angle 2 is 7z-6. angle 3 is 35y-10. angle 4 is equivalent to angle 2

To solve for \( z \) and \( y \), we need to understand the relationships between the angles.

Given:
- Angle 1 = \( 25y + 36 \)
- Angle 2 = \( 7z - 6 \)
- Angle 3 = \( 35y - 10 \)
- Angle 4 is equivalent to Angle 2, so Angle 4 = \( 7z - 6 \)

From this, it's important to know the geometric configuration of these angles. For example, if these angles represent the angles of a quadrilateral, their sum would be \( 360^\circ \), since the interior angles of a quadrilateral sum to \( 360^\circ \).

### Step 1: Set up the equation for the sum of the angles

Assuming the angles form a quadrilateral, we would have:

\[
(25y + 36) + (7z - 6) + (35y - 10) + (7z - 6) = 360^\circ
\]

### Step 2: Simplify the equation

First, combine like terms:

\[
25y + 35y + 36 - 10 + (7z - 6) + (7z - 6) = 360^\circ
\]

This simplifies to:

\[
60y + 14z + 14 = 360^\circ
\]

Now, subtract 14 from both sides:

\[
60y + 14z = 346
\]

### Step 3: Solve for \( z \) or \( y \)

We now have the equation \( 60y + 14z = 346 \). To find \( y \) or \( z \), we need more information or constraints about the angles. Could you provide more details about the geometric figure these angles represent (e.g., a quadrilateral, a triangle, or another shape)? This will help solve the system completely.

Do you have any questions or want further details on this step?

Here are some related questions:
1. Are the angles part of a specific geometric figure (e.g., a quadrilateral or triangle)?
2. How are the angles arranged relative to each other?
3. Could these angles be part of a parallel line system with transversals?
4. Is there any information about whether the angles are complementary or supplementary?
5. Should the angles sum to \( 360^\circ \) (as in a quadrilateral) or \( 180^\circ \) (as in a triangle)?

**Tip**: Always check whether angles are supplementary or complementary when working with geometric problems involving lines and transversals.

Help me find z and y. Angle 1 is 25y + 36. Angle 2 is 7z - 6. Angle 3 is 35y - 10. Angle 4 is equivalent to angle 2.

Learn how to solve for variables z and y in a quadrilateral where angles are given by algebraic expressions. Explore step-by-step solutions involving the sum of angles property and linear equations. Suitable for students in Grades 9-11.

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