Question

point z is the circumcenter of δtuv. what is m∠zub? 23.7° 32.8° 33.5° 57.2°

Explanation:

Step1: Recall right - triangle property

In right - triangle $\triangle ZUB$, we know that the sum of the interior angles of a triangle is $180^{\circ}$, and one angle is $90^{\circ}$. Let the angle we want to find be $\angle ZUB$, and we are given another non - right angle related to the figure.

Step2: Use angle - sum formula for triangle

In $\triangle ZUB$, we know that $\angle BZU + \angle ZUB+\angle UBZ=180^{\circ}$. Since $ZB\perp TU$, $\angle UBZ = 90^{\circ}$. We are given that $\angle BZU=57.2^{\circ}$.
We can find $\angle ZUB$ as follows:

$$
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$$

Answer:

$32.8^{\circ}$