Acute angle Chapter 1 (p.37)
An acute angle is an angle that measures less than 90 degrees
An acute angle is an angle that measures less than 90 degrees. In other words, it is an angle that is smaller than a right angle.
To understand this concept better, let’s consider a clock. If we imagine each hour on the clock face as a point, the angle between the hour hand and the minute hand for most times on the clock will be acute. For example, if it is 3 o’clock, the hour and minute hands will form an acute angle.
In geometry, we often use a protractor to measure angles. When measuring an angle and finding that it is less than 90 degrees, we can conclude that it is an acute angle.
Understanding acute angles is important in various branches of mathematics, including trigonometry and geometry. Acute angles can have important properties and relations with other angles, such as forming complementary angles when combined with a larger obtuse or right angle. They also play a role in defining other geometric concepts, such as acute triangles, where all three angles are acute.
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