Some angles are said to have a relationship with each other. Identifying such angles and understanding the relationship they have with each other can help us solve mathematical problems.
Complementary Angles
Two angles are said to be complementary when the sum of their measures is 90^(∘).
Here ∠ TSU and ∠ USV are complementary angles since the sum of their measures equals the measure of ∠ TSV, which is a right angle.
Supplementary Angles
Two angles are supplementary when the sum of their measures is 180^(∘).
In this example ∠ SPR and ∠ RPQ are two supplementary angles if the SPQ is a straight line.
Adjacent Angles
When two angles are adjacent they have a common vertex and a common side.
Since both ∠ TSU and ∠ USV have S as a vertex and SU as a side they are adjacent angles.
Vertical Angles
Two angles with sides that form two pairs of opposite rays are so called vertical angles.
In the diagram ∠ WMS and ∠ NME are vertical angles. Also ∠ WMN and ∠ SME form a pair of vertical angles.
