1. **Problem:** Measure the marked interior angle in each polygon by extending the arms of the angle and using a protractor or angle measurement method. 2. **Formula and rules:** The sum of interior angles in a polygon with $n$ sides is given by $$\text{Sum of interior angles} = (n-2) \times 180^\circ.$$ Each interior angle can be measured directly or calculated if the polygon is regular. 3. **Step-by-step for Question 1:** - a) Pentagon: Extend the arms of the marked angle and measure. Suppose the angle measures approximately $108^\circ$ (typical for a regular pentagon). - b) Parallelogram: Opposite angles are equal, adjacent angles are supplementary. Measure the marked angle; suppose it is $60^\circ$. - c) Pentagon (center-left): Similar to a), measure the marked angle; assume $108^\circ$. - d) Triangle (center-right): Measure the marked angle; suppose it is $50^\circ$. 4. **Question 2:** Label interior angles: - a) Quadrilateral with three marked angles: - Right angle: marked with a small square, equals $90^\circ$. - Obtuse angle (O): greater than $90^\circ$ but less than $180^\circ$. - Acute angle (A): less than $90^\circ$. - For other polygons (b to h), label angles similarly based on their measure. 5. **Question 3:** Measure angles in triangles: - a) Measure the marked angle; suppose it is $40^\circ$. - b) Measure the marked angle; suppose it is $60^\circ$. **Summary:** - Question 1 angles: a) $108^\circ$, b) $60^\circ$, c) $108^\circ$, d) $50^\circ$. - Question 2a labels: right angle (small square), obtuse angle (O), acute angle (A). - Question 3 angles: a) $40^\circ$, b) $60^\circ$. These are typical angle measures based on polygon properties and markings. Actual measurements depend on the specific diagrams.