https://file.aiquickdraw.com/mathbot/file/1726529053965fjtu8lx8.jpg

In the image, I see a triangle with one labeled angle of \( 72^\circ \) and an adjacent line with an indicated angle of \( 90^\circ \), likely suggesting a right angle. This seems to indicate a right triangle with a 90-degree angle, and the 72-degree angle is one of the non-right angles.

To find the remaining angle in the triangle, we use the fact that the sum of angles in a triangle is always \( 180^\circ \). Therefore, the missing angle, \( x \), can be calculated as follows:

\[
x = 180^\circ - 90^\circ - 72^\circ = 18^\circ
\]

Thus, the remaining angle in the triangle is \( 18^\circ \).

Would you like a more detailed explanation or have any other questions about this?

Here are 5 related questions to think about:
1. How can you calculate the side lengths of this right triangle if one of the sides is known?
2. What is the sine, cosine, or tangent of the 72° angle in this triangle?
3. How would the triangle change if the 72° angle were altered to another value?
4. Can you identify other types of triangles based on their angle properties (e.g., equilateral or isosceles)?
5. What are the uses of the Pythagorean theorem in right triangles like this one?

**Tip:** The sum of interior angles in any triangle always adds up to \( 180^\circ \), which is helpful for solving many types of triangle-related problems.

What is the measure of the third angle in a right triangle if one angle is 72° and the other is 90°?

Learn how to find the missing angle in a right triangle when given one angle of 72° and a right angle of 90°. Use the sum of angles theorem to solve this problem step-by-step. 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