Angle Word Problems Worksheets

What Are the Different Types of Angles? An angle is a geometric figure that is formed when two lines meet each other at a point. Typically, we measure angles in degrees, and a complete turn of the angle measures up to 360 degrees. Straight angles are half of one whole turn and resemble a straight line the measure of these angles in 180 degrees. In simpler terms, the straight angle is the same as the angle formed by two rays drawn in the opposite direction. Right angles are one-quarter of the one whole turn and measure up to 90 degrees. These angles look like angles formed by a vertical line and a horizontal line. Acute angles are those angles that measure between 0 degrees to 90 degrees. Obtuse angles are those angles that measure between 90 degrees and 180 degrees. Angles that measure between a straight line (180 degrees) and a whole turn (360 degrees) are known as the reflex angle.

What Are Complementary, Supplementary, and Vertical Angles?

Complementary Angles - A pair of angles is said to be complementary when the sum of two angles adds up to be 90 degrees. The two angles in consideration form a right angle. For example, if we are given an angle that measures 40 degrees, the next angle has to be 50 degrees, if we have to make it a complementary angle. If you are given a complementary angle, you can be asked to calculate the measure of another angle. To solve this problem, you will need to figure out the measure of the next angle that, when added to the given angle, adds up to 90 degrees. You will have to subtract the given angle and subtract it from 90 degrees. For example, if you are given 55 degrees, you will subtract this angle from 90 degrees to get the measure of the next angle. Supplementary Angles - A pair of angles is said to be supplementary when the two angles add up to 180 degrees. Supplementary angles look like a straight line, which means two angles together will form a straight line. For example, two angles 65 and 115 degrees are supplementary as they add up to 180 degrees and form a straight line. Vertical Angles - When we have two lines intersecting each other, the angles present opposite to each other. We typically get four angles when two intersect each other, but the pair that measures the same is known as the vertical angle.