https://file.aiquickdraw.com/mathbot/file/1740662482960qq3rwxub.jpg

The image shows a triangle with angles represented algebraically. The angle on the left is given as \( 5x + 62^\circ \), the angle at the top is \( 37^\circ \), and the angle on the right is \( 3x + 47^\circ \).

To write an equation, we use the fact that the sum of the interior angles of any triangle is always \( 180^\circ \). Thus, we can write the equation:

\[
(5x + 62) + 37 + (3x + 47) = 180
\]

Simplifying the equation:

\[
5x + 62 + 37 + 3x + 47 = 180
\]

\[
8x + 146 = 180
\]

Now, solve for \( x \).

Would you like to proceed with the solution or need further explanation? 

Here are five related questions:
1. What is the process for solving a simple linear equation like this one?
2. What happens if the sum of the angles in a triangle exceeds \( 180^\circ \)?
3. How can you check your answer for the value of \( x \) after solving the equation?
4. What if the angles were given in terms of different variables?
5. What is the relationship between the angles in an isosceles triangle?

Tip: Always double-check the angle sum property in a triangle before solving!

Write an equation to solve for x using the given triangle with algebraic angle expressions (5x + 62)°, 37°, and (3x + 47)°.

Learn how to solve for x in a triangle with algebraic expressions for its angles using the angle sum property. This problem is suitable for students in Grades 7-9 and covers key algebraic and geometric concepts.

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