https://file.aiquickdraw.com/mathbot/file/1728491582242hsj1zh28.jpg

The diagram presents a triangle with the following angles:

- One angle is labeled \( 3p \)
- Another angle is \( p - 10^\circ \)
- The third angle is also \( p - 10^\circ \)

To find the value of \( p \), we can use the fact that the sum of the angles in any triangle is always \( 180^\circ \).

So, we have the equation:

\[
3p + (p - 10^\circ) + (p - 10^\circ) = 180^\circ
\]

Let's simplify and solve:

\[
3p + p - 10^\circ + p - 10^\circ = 180^\circ
\]
\[
5p - 20^\circ = 180^\circ
\]
\[
5p = 200^\circ
\]
\[
p = 40^\circ
\]

Thus, the value of \( p \) is \( 40^\circ \).

Would you like more details or have any other questions?

Here are 5 related questions for further exploration:
1. How can you verify that the sum of the angles in a triangle is always \( 180^\circ \)?
2. What happens if you change the value of one angle in a triangle? How does it affect the other angles?
3. What is the relationship between exterior angles and interior angles in a triangle?
4. Can you derive a formula for the angles of any polygon based on the number of sides?
5. What are the properties of an equilateral triangle, and how does it compare to the one in the diagram?

**Tip:** Always double-check your angle sums in any polygon, as the total depends on the number of sides (e.g., 180° for a triangle, 360° for a quadrilateral).

What is the value of p in a triangle where one angle is 3p and two angles are p - 10°?

Learn how to find the value of p in a triangle where the angles are 3p and p - 10°. Using the triangle sum theorem and basic algebra, this problem shows step-by-step how to solve for p, which equals 40°. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation