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Complementary angles are pairs of angles that add up to 90 degrees when combined. In real life, you can find complementary angles in various situations and objects. Here are some examples:

  1. Door Frame: When you open a door, the two adjacent sides of the door frame form a complementary angle. The angles made by the door and the door frame together add up to 90 degrees.

  2. Ladder Leaning Against a Wall: If you have a ladder leaning against a wall, the ladder and the wall create complementary angles at the point where they meet.

  3. Sun's Position in the Sky: When measuring the altitude of the sun in the sky, the angle between the horizon and the line pointing directly at the sun forms a complementary angle with the angle measuring the sun's height from the zenith (the point directly overhead).

  4. Hand of a Clock: The hour and minute hands of an analog clock create complementary angles twice every hour as they move around the clock face. At 3:00, for example, the hour hand and minute hand form a complementary angle.

  5. Steps of a Staircase: The surface of each step and the vertical riser beneath it form a complementary angle.

  6. Skateboard Ramp: In skateboarding or other sports, the angle between the surface of the ramp and the ground creates complementary angles.

  7. Pitched Roof: The two angles at the peak of a pitched roof (where the two roof sections meet) are complementary angles.

  8. Car's Wheels: The angles between the tire and the ground on a car create complementary angles.

  9. Road Signs: The angles between the support pole and the signboard on road signs can form complementary angles.

Remember, complementary angles are everywhere in real-life situations where two intersecting lines or surfaces create angles, and those angles add up to 90 degrees. These examples demonstrate the prevalence of complementary angles in everyday experiences.

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