Finding the Measures of Angles in a Linear Pair

In summary, a linear pair of angles have measures that sum to 180 degrees. To find the measures of angles <1 and <2, we can set up the equation 5x + 9 + 3x + 11 = 180 and solve for x. Then, we can substitute the value of x into the respective expressions to find the measures of both angles.
  • #1
bernardl
4
0
<1 and <2 form a linear pair. If m<1 = 5x + 9 and m<2 = 3x + 11, find the measures of both angles.
 
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  • #2
Hi bernardl and welcome to MHB! :D

I've re-titled your recent threads to give them a name that accurately reflects the problem at hand.

A linear pair of angles have measures that sum to 180 degrees, so we want to solve

5x + 9 + 3x + 11 = 180

for x, then substitute that value for x into the respective expressions to find the measure of the two angles.
 
  • #3
Whoever gave you this problem clearly expected you to know what "linear pair of angles" meant! Did you? If so it is easy to set up an equation to solve.
 

FAQ: Finding the Measures of Angles in a Linear Pair

What is a linear pair of angles?

A linear pair of angles is formed when two adjacent angles add up to 180 degrees and share a common side. In other words, the angles are adjacent and form a straight line.

How do you identify a linear pair of angles?

To identify a linear pair of angles, look for two adjacent angles that share a common side and add up to 180 degrees. You can also check if the angles are supplementary, meaning they add up to 180 degrees.

Can a linear pair of angles be formed by two obtuse angles?

No, a linear pair of angles cannot be formed by two obtuse angles. This is because two obtuse angles, which are greater than 90 degrees, cannot add up to 180 degrees.

Can two acute angles form a linear pair?

Yes, two acute angles can form a linear pair as long as they are adjacent and add up to 180 degrees. This is because two acute angles, which are less than 90 degrees, can add up to 180 degrees.

What is the relationship between linear pairs and adjacent angles?

Linear pairs are a special type of adjacent angles where the two angles add up to 180 degrees. Not all adjacent angles form a linear pair, but all linear pairs are adjacent angles.

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