https://file.aiquickdraw.com/mathbot/file/1726102634683439qwv21.jpg

The given equation is:

\[
(6r - 24) + (4r + 14) = 90
\]

### Let's solve for \(r\):

1. Combine like terms:
\[
(6r + 4r) + (-24 + 14) = 90
\]
This simplifies to:
\[
10r - 10 = 90
\]

2. Add 10 to both sides:
\[
10r = 100
\]

3. Divide by 10:
\[
r = 10
\]

Now that we know \(r = 10\), we can substitute this value back into the expressions for the two angles if that's the context.

The first angle is:
\[
6r - 24 = 6(10) - 24 = 60 - 24 = 36
\]

The second angle is:
\[
4r + 14 = 4(10) + 14 = 40 + 14 = 54
\]

Thus, angle 2 is 54°.

Would you like further details on the process, or clarification? Here are some additional questions to explore this topic further:

1. What are supplementary angles, and how do they relate to this problem?
2. Can you verify if the two angles are complementary or supplementary?
3. How would the solution change if the equation was set equal to a different value?
4. What happens if we change one of the coefficients in the angle expressions?
5. Can you solve a similar equation with different expressions for angles?

**Tip:** Always double-check your work by plugging your solution back into the original equation to ensure it satisfies the given condition.

(6r - 24) + (4r + 14) = 90. Solve for angle measure 2.

Learn how to solve the linear equation (6r - 24) + (4r + 14) = 90 step by step. Understand algebraic concepts such as combining like terms and solving for unknown variables. Find the second angle measure, 54°, using simple algebraic methods. 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