The given triangle is labeled as $\triangle VUW$, and it is a right triangle because there is a 90° angle at vertex $V$. The angles provided are:

• $\angle VUW = 43^\circ$
• $\angle WVU = 48^\circ$

We are asked to find the angle at vertex $W$, denoted as $?$.

In any triangle, the sum of the interior angles is always $180^\circ$. Therefore, we can calculate the unknown angle $?$ as follows:

$\angle MVW = 180^\circ - \angle VUW - \angle WVU$

Substitute the known values:

$\angle MVW = 180^\circ - 43^\circ - 48^\circ = 89^\circ$

Thus, the unknown angle $?$ is $89^\circ$.

Answer: $89^\circ$.

Would you like more details or have any questions about this?

Here are 5 related questions:

1. How do you calculate the missing angle in an isosceles triangle?
2. What is the sum of interior angles in a quadrilateral?
3. Can you solve a triangle using the law of sines?
4. How do we find unknown angles in an obtuse triangle?
5. What is the importance of angle bisectors in geometry?

Tip: Always remember that the sum of the angles in any triangle is $180^\circ$.