Question

ux\overline{gb}.
m\angle hub = 40^{circ}.
enter the measures and reasons to justify each step needed
to calculate m\angle dux.
m\angle dux=
diagram notes:
first, enter the given information for \angle hub.
m\angle hub = 40^{circ}
next, calculate the m\angle gux.
\angle = 90^{circ}

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. $\angle HUB$ and $\angle GUD$ are vertical angles. So, $m\angle GUD = m\angle HUB = 40^{\circ}$.

Step2: Calculate $m\angle DUX$

Since $\angle GUX = 90^{\circ}$ (given), and $\angle GUX=\angle GUD+\angle DUX$. Then $m\angle DUX=m\angle GUX - m\angle GUD$. Substitute the values: $m\angle DUX = 90^{\circ}-40^{\circ}$.

Answer:

$50$