Question

With a measure of less than 90 degrees, an angle like the one seen here is referred to as this type of angle.

a) Acute
b) Right
c) Obtuse
d) Straight

Answer 1

An angle with a measure of less than 90 degrees is referred to as a) Acute angle.

Step-by-step explanation:

In geometry, angles are categorized based on their measures. An acute angle is defined as an angle whose measure is greater than 0 degrees but less than 90 degrees. This means that an acute angle occupies less than a quarter of a full circle, falling short of the 90-degree mark. For example, an angle measuring 45 degrees is considered acute as it is less than 90 degrees but greater than 0 degrees.

The term "acute" itself means sharp or narrow, which aptly describes these angles as they are smaller and more compressed compared to a right angle or obtuse angle. Visually, acute angles appear as pointed corners or angles that are sharper than a right angle but do not form a straight line. These angles are common in various geometric figures and have applications in trigonometry, architecture, and other fields where precise measurements and angles are crucial. Understanding acute angles is fundamental in geometry as they form the basis for understanding the properties and relationships of angles within shapes and structures.