Adjacent Angles Problem: Finding Pairs That Sum to 180 Degrees

Question

The sum of adjacent angles is 180 degrees.

Video Solution

Solution Steps

00:00 Is the sum of adjacent angles equal to 180?
00:03 Let's draw adjacent angles
00:09 Adjacent angles complete a straight angle (180)
00:15 Therefore, the sum of adjacent angles equals 180
00:19 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's first understand the concept of adjacent angles. Adjacent angles share a common vertex and a common side. When two adjacent angles are formed by two intersecting lines, they often form what is known as a linear pair.

According to the Linear Pair Postulate, if two angles form a linear pair, then the sum of these adjacent angles is 180180 degrees. This is because these angles lie on a straight line, effectively forming a straight angle, which measures 180180 degrees.

Let's apply this knowledge to the statement in the problem:
The statement says, "The sum of adjacent angles is 180 degrees." In the context of the Linear Pair Postulate, this is indeed correct as adjacent angles that create a linear pair sum to 180180 degrees.

Therefore, when the statement refers specifically to linear pairs, it is true.

Thus, the solution to the problem is True.

Answer

True