https://file.aiquickdraw.com/mathbot/file/17302210027246lb8axvu.pdf

From the problem in your document, we have a triangle with three angles, denoted as \( \angle C \), \( \angle D \), and \( \angle E \). The expressions for the angles are:

1. \( m\angle C = -5x + 2 \)
2. \( m\angle D = 3x + 44 \)

Since it’s a triangle, the sum of the interior angles must equal \( 180^\circ \):
\[
m\angle C + m\angle D + m\angle E = 180^\circ
\]

To solve for each angle, we’d need the expression for \( \angle E \), which might not be fully visible in the text provided.

Would you like assistance setting up and solving this, or is there more information in the document? 

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Here are related questions that build on this topic:
1. How do you solve for \( x \) if an additional angle expression is given?
2. What steps would you take if two angles are complementary or supplementary?
3. How do angle relationships change in isosceles or equilateral triangles?
4. What strategies can help determine missing angles in a right triangle?
5. How can algebraic expressions in geometry problems be simplified effectively?

**Tip:** Always verify if given expressions satisfy known angle properties, especially when solving for unknowns.

Find the degree measure of each angle in the triangle where \( m\angle C = -5x + 2 \)° and \( m\angle D = 3x + 44 \)°.

Solve for the angles in a triangle with given expressions for \( m\angle C = -5x + 2 \)° and \( m\angle D = 3x + 44 \)°, using the Triangle Angle Sum Theorem. Suitable for students in Grades 8-10.

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