https://file.aiquickdraw.com/mathbot/file/1726706218043jin1bno3.jpg

To solve for \( x^\circ \) and \( y^\circ \) in the given diagram, we can use the properties of triangles.

### Step 1: Find \( x^\circ \)
The top triangle is a triangle with two known angles: 25° and \( x^\circ \). The sum of angles in any triangle must be 180°.
\[
x^\circ + 25^\circ + 90^\circ = 180^\circ
\]
Solving for \( x^\circ \):
\[
x^\circ = 180^\circ - 25^\circ - 90^\circ = 65^\circ
\]

### Step 2: Find \( y^\circ \)
Now, consider the right triangle at the bottom. The sum of the angles in this triangle is also 180°. Since one of the angles is 90° and another is 20°, we can find \( y^\circ \) as follows:
\[
y^\circ + 90^\circ + 20^\circ = 180^\circ
\]
Solving for \( y^\circ \):
\[
y^\circ = 180^\circ - 90^\circ - 20^\circ = 70^\circ
\]

### Final Answers:
\[
x = 65^\circ, \quad y = 70^\circ
\]

Would you like more details or have any other questions?

Here are five related questions to deepen your understanding:
1. How do the angles in a triangle always sum up to 180°?
2. What would happen if one of the angles was 30° instead of 25°?
3. Can you identify the types of triangles based on their angles?
4. How does the right angle (90°) affect the calculations of other angles?
5. What are the exterior angles of a triangle, and how do they relate to the interior ones?

**Tip**: Always remember that the sum of angles in any triangle is always 180°.

Solve for x and y in the triangle where one angle is 25°, another is 20°, and there is a right angle.

Learn how to solve for unknown angles x and y in a triangle where one angle is 25°, another is 20°, and there is a right angle. This problem explores the properties of triangles and angle sums, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation