https://file.aiquickdraw.com/mathbot/file/1726371086638lj2m0b2g.jpg

In this problem, we are given two angles, \( (2s + 2)^\circ \) and \( (3s - 2)^\circ \), that are part of a geometric configuration where they likely form a linear pair or are supplementary. A linear pair of angles is two adjacent angles whose measures add up to \( 180^\circ \).

Thus, we can set up the following equation to solve for \( s \):

\[
(2s + 2) + (3s - 2) = 180
\]

Let's solve this equation step-by-step.

1. Combine like terms on the left-hand side:
\[
(2s + 3s) + (2 - 2) = 180
\]
\[
5s = 180
\]

2. Solve for \( s \):
\[
s = \frac{180}{5} = 36
\]

Thus, the value of \( s \) is \( 36 \).

Let me know if you'd like further details on this or if you have any other questions!

Here are five related questions:
1. What is the definition of supplementary angles?
2. How do we verify if two angles form a linear pair?
3. Can the value of \( s \) ever be negative in this context?
4. What is the sum of the angles in a triangle?
5. How do you determine if angles are complementary?

**Tip:** Always double-check that the angles you are working with either form a linear pair (sum to 180°) or another specific relationship like complementary angles (sum to 90°).

Solve for the value of s, given that the two angles (2s + 2)° and (3s - 2)° form a linear pair.

Learn how to solve for the variable s in a linear pair of angles, where the sum of the angles (2s + 2)° and (3s - 2)° is 180°. Follow this step-by-step guide to understand the algebraic solution. 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