Question

given: ux ⊥ gb. m∠hub = 40°. enter the measures and reasons to justify each step needed to calculate m∠dux. diagram notes: m∠dux = °. enter the given angle measure into the diagram. the measure of ∠hub is given. m∠hub = °

Explanation:

Step1: Recall vertical - angle relationship

Vertical angles are equal. \(\angle HUB\) and \(\angle DUX\) are vertical angles.

Step2: Apply the vertical - angle theorem

Since vertical angles are congruent (by the vertical - angle theorem), if \(m\angle HUB = 40^{\circ}\), then \(m\angle DUX=m\angle HUB\).

Answer:

\(40\)