Linear Pair

How to solve the angles that form a linear pair: formula, 1 example, and its solution.

Formula

Formula

A linear pair are two angles
that are adjacent
and that form a line together.

If ∠1 and ∠2 are a linear pair,
then m∠1 + m∠2 = 180.

Unlike supplementary angles,
the angles of a linear pair are adjacent to each other.

Example

Example

Solution

The given two angles
are adjacent
and form a line.

So the given two angles are a linear pair.

So [13x + 1] + [7x + 19] = 180.

13x + 7x = 20x
+1 + 19 = +20

Move +20 to the right side.

Then 20x = 160.

Divide both sides by 20.

Then x = 8.

So x = 8 is the answer.