Question

the measure of ∠zux can be calculated. the measure of ∠zux is 87 ° because ∠zux and ∠duz are

Explanation:

Step1: Identify angle - relationship

$\angle ZUX$ and $\angle DUZ$ are supplementary angles since they form a linear - pair (a straight line at point U).

Step2: Use the property of supplementary angles

The sum of supplementary angles is $180^{\circ}$. Given $\angle DUZ = 93^{\circ}$, let $\angle ZUX=x$. Then $x + 93^{\circ}=180^{\circ}$. Solving for $x$, we get $x=180^{\circ}-93^{\circ}=87^{\circ}$.

Answer:

$87^{\circ}$, supplementary angles