Master collateral angles with step-by-step practice problems. Learn internal and external collateral angles in parallel lines with detailed solutions and examples.
The collateral angles are a pair of angles that we can find on the same side of a transversal or secant line that intersects two parallel lines, and that are also internal or external with respect to the parallel lines. The sum of the collateral angles equals.
Which type of angles are shown in the figure below?
Does the drawing show an adjacent angle?
Adjacent angles are angles whose sum together is 180 degrees.
In the attached drawing, it is evident that there is no angle of 180 degrees, and no pair of angles can create such a situation.
Therefore, in the drawing there are no adjacent angles.
Answer:
Not true
Does the drawing show an adjacent angle?
Adjacent angles are angles whose sum together is 180 degrees.
In the attached drawing, it is evident that there is no angle of 180 degrees, and no pair of angles can create such a situation.
Therefore, in the drawing there are no adjacent angles.
Answer:
Not true
Does the diagram show an adjacent angle?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Inspecting the diagram, we notice several intersecting lines.
Step 2: To check for adjacent angles, we look for pairs of angles that share both a common vertex and a common side. An adjacent angle must be formed by such pairs, ensuring they do not overlap.
Step 3: Based on our definition, after closely examining the diagram, no pair of angles in the diagram seems to satisfy the definition of adjacent angles. The intersecting lines form angles that don't share a common arm with any other angle at the same vertex in the manner required for adjacency.
Therefore, the solution to the problem is No, the diagram does not show an adjacent angle.
Answer:
No
Is it possible to have two adjacent angles, one of which is obtuse and the other right?
Remember the definition of adjacent angles:
Adjacent angles always complement each other up to one hundred eighty degrees, that is, their sum is 180 degrees.
This situation is impossible since a right angle equals 90 degrees, an obtuse angle is greater than 90 degrees.
Therefore, together their sum will be greater than 180 degrees.
Answer:
No
Does the diagram show an adjacent angle?
To determine whether the diagram shows adjacent angles, we need to confirm the presence of two properties:
1. Two angles must share a common vertex.
2. These angles must have a common arm and should not overlap.
Based on the given representation, the provided diagram consists solely of a single line. There are no visible intersecting lines or vertices from which angles can originate. Without intersection, there cannot be distinct angles, and thereby no adjacent angles can be identified.
Therefore, the diagram lacks the necessary properties to demonstrate adjacent angles. Hence, the correct choice is No.
Answer:
No