Two angles with common sides are referred to as adjacent angles. These angles share a common vertex and one side, while the other side of each angle extends in different directions. For example, if two angles are formed by two intersecting lines, the angles that share one of the intersecting lines as a side are adjacent angles.
They are co-terminal angles.
Yes. If the two acute angles have their measures add up to 90 degrees, and both angles share one side that is common to each angle (they are adjacent), then their non-common sides will be perpendicular.
The non-common sides of two adjacent and complementary angles form a straight angle. Complementary angles are two angles that sum up to 90 degrees, and since they share a common vertex and one side, the other sides point in opposite directions, creating a straight line. Thus, the angle formed by the non-common sides is 180 degrees.
Supplementary angles
If two adjacent angles have their exterior sides in perpendicular lines, then the two angles are complementary. This means that the sum of their measures is 90 degrees. In this scenario, the angles share a common vertex and a side, while their other sides form a right angle with each other.
That would be a right angle: The measure of complementary angles adds up to 90 degrees. Adjacent angles are angles that share one common side and one common vertex, but no common interior points (the angles don't overlap). The non-common sides of two adjacent angles are the two "outside" sides (the unshared sides). Two adjacent and complementary angles would form a right angle split by a ray/line, and not necessarily bisected (perfectly divided in half).
They are co-terminal angles.
Yes. If the two acute angles have their measures add up to 90 degrees, and both angles share one side that is common to each angle (they are adjacent), then their non-common sides will be perpendicular.
The non-common sides of two adjacent and complementary angles form a straight angle. Complementary angles are two angles that sum up to 90 degrees, and since they share a common vertex and one side, the other sides point in opposite directions, creating a straight line. Thus, the angle formed by the non-common sides is 180 degrees.
Supplementary angles
If two adjacent angles have their exterior sides in perpendicular lines, then the two angles are complementary. This means that the sum of their measures is 90 degrees. In this scenario, the angles share a common vertex and a side, while their other sides form a right angle with each other.
All angles have two sides!
Those angles are called Alternate Exterior Angles. When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
The term that describes a pair of angles formed by the intersection of two straight lines that share a common vertex but do not share any common sides is "vertical angles." Vertical angles are always equal in measurement and are located opposite each other at the intersection point of the two lines.
An isosceles triangle has two sides and two angles that are the same.
The two angles described are known as adjacent angles. They share a common vertex and one side, while the other sides of the angles are formed by extending the common side in different directions. Since they do not overlap, adjacent angles can be found in various geometric configurations, such as in polygons or when two lines intersect.
A rectangle has two right angles and parcel sides