Example Question - geometric diagram

Determining the Relationship Between Algebraic Expressions in a Geometric Diagram

<p>The given image shows a geometric diagram with angles labeled in terms of "x". To solve for "x", we can use the fact that the sum of angles in a triangle is 180 degrees.</p> <p>In triangle QRP:</p> <p>QR + RP + PQ = 180</p> <p>Substituting the given expressions, we get:</p> <p>3x + 4x + 5x = 180</p> <p>Combine like terms:</p> <p>12x = 180</p> <p>Divide both sides by 12 to solve for x:</p> <p>x = \frac{180}{12}</p> <p>x = 15</p>