b) Draw triangle \( X Y Z \). The measure of \( \angle X \) is \( 60^{\circ} \). The measure of \( \angle Y \) is \( 50^{\circ} \). The length of side \( X Y \) is 5 cm .

To draw triangle \( XYZ \) with the given conditions, we can follow these steps: 1. **Identify the Angles and Side**: - \( \angle X = 60^{\circ} \) - \( \angle Y = 50^{\circ} \) - The length of side \( XY = 5 \) cm. 2. **Calculate the Third Angle**: The sum of the angles in a triangle is \( 180^{\circ} \). Therefore, we can find \( \angle Z \) as follows: \[ \angle Z = 180^{\circ} - \angle X - \angle Y = 180^{\circ} - 60^{\circ} - 50^{\circ} = 70^{\circ} \] 3. **Draw the Triangle**: - Start by drawing line segment \( XY \) which is 5 cm long. - At point \( X \), use a protractor to measure \( 60^{\circ} \) and draw a line extending from \( X \). - At point \( Y \), measure \( 50^{\circ} \) and draw another line extending from \( Y \). - The intersection of these two lines will be point \( Z \). 4. **Label the Triangle**: - Label the vertices as \( X \), \( Y \), and \( Z \). - Mark the angles \( \angle X \), \( \angle Y \), and \( \angle Z \) accordingly. This process will give you a triangle \( XYZ \) with the specified angles and side length. If you need a visual representation, I can provide a plot of the triangle based on these specifications. Would you like me to do that?