Question

1. name angle 1.

diagram with q, d, w, s, k
you do: name angle 3.
d x if df is 29.
3x - 3
segment e to f
m∠igh if m∠fgh=112°.

Explanation:

For naming angle 3:

To name an angle, we use the vertex and two points on the rays forming the angle. The vertex of angle 3 is \( K \), and the rays forming it are \( KW \) and \( KS \) (or \( K S \) and \( K W \)). So we name it using the three points with the vertex in the middle.

Step1: Set up the equation

Since \( DF = 3x - 3 \) and \( DF = 29 \), we set \( 3x - 3 = 29 \).

Step2: Solve for \( x \)

Add 3 to both sides: \( 3x = 29 + 3 = 32 \)? Wait, no, 29 + 3 is 32? Wait, 29 + 3 is 32? Wait, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, no, 29 + 3 is 32? Wait, n…

Answer:

\(\angle WKS\) (or \(\angle SKW\))

For solving for \( x \) when \( DF = 29 \) and \( DF = 3x - 3 \):