For triangle $ RQT $, since $ \angle QTR = 90^\circ $ and $ \angle RQT = \angle RQT $, we can denote $ \angle RQT = y $. The angles in triangle $ RQT $

Given that $\angle QTR = 90^\circ$ and $\angle RQT = y$ in triangle $RQT$, let's explore the implications of these angle measures.

In any triangle, the sum of the interior angles is always $180^\circ$. So, in triangle $RQT$, we have:

\[
\angle QTR + \angle RQT + \angle QRT = 180^\circ
\]

Given:
\[
\angle QTR = 90^\circ, \quad \angle RQT = y
\]

Let $\angle QRT = x$.

Now, we can write the equation for the sum of the angles as:

\[
90^\circ + y + x = 180^\circ
\]

To solve for $x$, we subtract $90^\circ + y$ from both sides:

\[
x = 180^\circ - 90^\circ - y
\]

Simplifying:

\[
x = 90^\circ - y
\]

So, the third angle $\angle QRT$ in triangle $RQT$ is:

\[
\angle QRT = 90^\circ - y
\]

### Summary
- $\angle QTR = 90^\circ$
- $\angle RQT = y$
- $\angle QRT = 90^\circ - y$

These are the three angles in triangle $RQT$.

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Do you want more details or have any questions? Here are some related questions:

1. What are the properties of a right triangle?
2. How does the sum of angles in a triangle always equal $180^\circ$?
3. What is the relationship between the angles in an isosceles right triangle?
4. How can you determine the type of triangle given its angles?
5. What is the sine, cosine, and tangent of angle $y$ in triangle $RQT$?
6. How does the Pythagorean Theorem relate to triangle $RQT$?
7. If angle $y$ is $30^\circ$, what are the measures of the other angles?
8. How would the problem change if $ \angle RQT = 45^\circ $?

**Tip:** Remember that in any right triangle, one of the angles is always $90^\circ$, and the other two angles must add up to $90^\circ$.

Explore the angles in triangle RQT where QTR is a right angle and RQT is denoted as y. Learn how to find the third angle QRT and understand the properties of right triangles. Suitable for high school students studying triangle geometry.

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