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To construct angles of 90 degrees (a right angle) and 45 degrees using a compass, you can follow these steps: Constructing a 90-degree angle: Start by drawing a straight line (referred to as line AB) using a ruler or a straight edge. Place the tip of the compass at point A and draw an arc that intersects line AB. Without changing the compass width, place the tip of the compass at point B and draw another arc that intersects the previous arc. Label the point of intersection between the two arcs as point C. Draw a straight line connecting points A and C. This line forms a 90-degree angle (right angle) with line AB. Constructing a 45-degree angle: Start by drawing a straight line (referred to as line AB) using a ruler or a straight edge. Place the tip of the compass at point A and draw an arc that intersects line AB. Without changing the compass width, place the tip of the compass at the intersection point on line AB and draw another arc that intersects the previous arc. Label the point of intersection between the two arcs as point C. Draw a straight line connecting points A and C. This line forms a 45-degree angle with line AB. Remember to be precise and use a ruler or straight edge for drawing the straight lines. Also, ensure that the compass width remains constant throughout the construction process.