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Let's solve the questions on this worksheet, which involves finding the measure of the indicated angle in each linear pair. 

For a linear pair, the sum of the two angles is always \( 180^\circ \) because they form a straight line.

### Solutions:
1. **Angle \( \angle DOF \)**:
   - Given \( \angle DOE = 117^\circ \).
   - \( \angle DOF + \angle DOE = 180^\circ \).
   - \( \angle DOF = 180^\circ - 117^\circ = 63^\circ \).

2. **Angle \( \angle GOH \)**:
   - Given \( \angle FOH = 105^\circ \).
   - \( \angle GOH + \angle FOH = 180^\circ \).
   - \( \angle GOH = 180^\circ - 105^\circ = 75^\circ \).

3. **Angle \( \angle BOC \)**:
   - Given \( \angle AOB = 136^\circ \).
   - \( \angle BOC + \angle AOB = 180^\circ \).
   - \( \angle BOC = 180^\circ - 136^\circ = 44^\circ \).

4. **Angle \( \angle LON \)**:
   - Given \( \angle MON = 80^\circ \).
   - \( \angle LON + \angle MON = 180^\circ \).
   - \( \angle LON = 180^\circ - 80^\circ = 100^\circ \).

5. **Angle \( \angle SOU \)**:
   - Given \( \angle TOU = 71^\circ \).
   - \( \angle SOU + \angle TOU = 180^\circ \).
   - \( \angle SOU = 180^\circ - 71^\circ = 109^\circ \).

6. **Angle \( \angle YOZ \)**:
   - Given \( \angle XOZ = 69^\circ \).
   - \( \angle YOZ + \angle XOZ = 180

Find the measure of the indicated angle in each linear pair on the worksheet.

Learn how to solve linear pair problems by finding the measures of unknown angles using the concept of supplementary angles. This worksheet covers key geometric concepts, including linear pairs and the supplementary angle theorem. Suitable for students in Grades 7-9.

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