Question

what is the value of q?

Explanation:

Step1: Analyze angle relationship

The total angle between the vertical line and the lower ray is the sum of \( q \) and \( 26^\circ \), which equals \( 72^\circ \). So, \( q + 26^\circ = 72^\circ \).

Step2: Solve for \( q \)

Subtract \( 26^\circ \) from both sides: \( q = 72^\circ - 26^\circ \).
\( q = 46^\circ \)

Answer:

\( 46 \)