Supplementary Angles
How to solve the angles that are supplementary: formula, 1 example, and its solution.
Formula
Supplementary angles are two angles (∠1 and ∠2)
whose sum of the measures are 180:
m∠1 + m∠2 = 180.
Unlike a linear pair,
supplementary angles
don't have to be adjacent to each other.
Example
Solution
Solution (Detail)
It says
the given two angles are supplementary.
So [4x + 92] + [6x + 38] = 180.
4x + 6x = 10x
+92 + 38 = +130
Move +130 to the right side.
Then 10x = 50.
Divide both sides by 10.
Then x = 5.
So x = 5 is the answer.