Supplementary Angles Form A Linear Pair - If two angles are a linear pair, then they are supplementary (add up to \(180^{\circ}\)). Web one supplementary angle equals the difference between 180° and the other supplementary angle. \(\angle psq\) and \(\angle qsr\) are a linear pair. Also, ∠abc and ∠dbc form a linear pair so, ∠abc + ∠dbc = 180°. Where ∠dbc is an exterior angle of ∠abc and, ∠a and ∠c are the remote interior angles. Angles in a linear pair are always supplementary, but two supplementary angles need not form a linear pair. Subtracting we have, ∠dbc = ∠a + ∠c. For example, two adjacent angles such as ?abc and ?cbd form a linear pair. The adjacent angles formed by two intersecting lines are always supplementary. Substituting the second equation into the first equation we get, ∠abc + ∠dbc = ∠a + ∠c + ∠abc.
If two angles are a linear pair, then they are supplementary (add up to \(180^{\circ}\)). Where ∠dbc is an exterior angle of ∠abc and, ∠a and ∠c are the remote interior angles. Angles in a linear pair are always supplementary, but two supplementary angles need not form a linear pair. The adjacent angles formed by two intersecting lines are always supplementary. The two angles form a straight line, hence the name linear pair. Substituting the second equation into the first equation we get, ∠abc + ∠dbc = ∠a + ∠c + ∠abc. Subtracting we have, ∠dbc = ∠a + ∠c. Web one supplementary angle equals the difference between 180° and the other supplementary angle. For example, two adjacent angles such as ?abc and ?cbd form a linear pair. Web linear pairs of angles are also referred to as supplementary angles because they add up to 180 degrees. \(\angle psq\) and \(\angle qsr\) are a linear pair. Also, ∠abc and ∠dbc form a linear pair so, ∠abc + ∠dbc = 180°.