If the exterior sides of two adjacent acute angles are perpendicular…
If the exterior sides of two adjacent acute angles are perpendicular, it means that the angles form a right angle when they are placed side by side, with their exterior sides forming a perpendicular intersection
If the exterior sides of two adjacent acute angles are perpendicular, it means that the angles form a right angle when they are placed side by side, with their exterior sides forming a perpendicular intersection.
To understand this concept better, let’s break it down:
1. Adjacent angles: Two angles are said to be adjacent when they share a vertex and a common side but do not overlap each other. In other words, they are right next to each other.
2. Acute angles: An acute angle is an angle that measures less than 90 degrees. It is smaller than a right angle (90 degrees) and obtuse angle (greater than 90 degrees).
3. Exterior sides: When we talk about angles, we usually refer to the two interior sides that meet at the vertex. The exterior sides are essentially the extensions of these interior sides.
4. Perpendicular: In geometry, perpendicular lines or segments intersect at a right angle, forming 90degree angles.
So, if the exterior sides of two adjacent acute angles are perpendicular, it indicates that the two angles together form a right angle. This relationship can be represented as follows:
Angle 1 + Angle 2 = 90 degrees
In a diagram, it would look like this:

\\//
Angle 1
//\\


Angle 2
Here, Angle 1 and Angle 2 are adjacent acute angles, and the perpendicular intersection of their exterior sides forms a right angle.
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