Question

if m∠poq = 24 and m∠por = 59, what is m∠qor?
m∠qor = □
(simplify your answer.)

Explanation:

Step1: Identify angle relationship

From the diagram, \( \angle POR = \angle POQ + \angle QOR \). So, \( m\angle QOR = m\angle POR - m\angle POQ \).

Step2: Substitute values

Given \( m\angle POQ = 24 \) and \( m\angle POR = 59 \), substitute into the formula: \( m\angle QOR = 59 - 24 \).

Step3: Calculate the result

\( 59 - 24 = 35 \).

Answer:

\( 35 \)