Supplementary angles are two angles whose sum is 180°. Theorem 8 now tells you that m ∠ A = m ∠ C.įigure 5 Two angles complementary to the same angleįigure 6 Two angles complementary to equal angles Also, ∠ C and ∠ D are complementary, and m ∠ B = m ∠ D. In Figure 6, ∠ A and ∠ B are complementary. In Figure 5, ∠ A and ∠ B are complementary. Theorem 8: If two angles are complementary to the same angle, or to equal angles, then they are equal to each other. In Figure 4, because m ∠3 + m ∠4 = 90°, ∠3, and ∠4, are complementary.įigure 4 Nonadjacent complementary anglesĮxample 1: If ∠5 and ∠6 are complementary, and m ∠5 = 15°, find m ∠6. In Figure 3, because ∠ ABC is a right angle, m ∠1 + m ∠2 = 90°, so ∠1 and ∠2 are complementary.Ĭomplementary angles do not need to be adjacent. Theorem 7: Vertical angles are equal in measure.Ĭomplementary angles are any two angles whose sum is 90°. In Figure 2, line l and line m intersect at point Q, forming ∠1, ∠2, ∠3, and ∠4.įigure 2 Two pairs of vertical angles and four pairs of adjacent angles. Any two of these angles that are not adjacent angles are called vertical angles. Vertical angles are formed when two lines intersect and form four angles. In Figure 1, ∠1 and ∠2 are adjacent angles. Summary of Coordinate Geometry FormulasĬertain angle pairs are given special names based on their relative position to one another or based on the sum of their respective measures.Īdjacent angles are any two angles that share a common side separating the two angles and that share a common vertex.Slopes: Parallel and Perpendicular Lines.Similar Triangles: Perimeters and Areas.Proportional Parts of Similar Triangles.Formulas: Perimeter, Circumference, Area.Proving that Figures Are Parallelograms.Triangle Inequalities: Sides and Angles.Special Features of Isosceles Triangles.Classifying Triangles by Sides or Angles.Lines: Intersecting, Perpendicular, Parallel.I Hope you liked this article “Complementary and supplementary angles meaning with examples”. In the above figure ray OR is called angular bisector of ∠POQ. Since ∠AOB = ∠POQ = 60 o Angular bisector:Ī ray which divides an angle into two congruent angles is called angular bisector. In the above figure ∠AOB & ∠POQ are congruent angles. Two angles having the same measure are known as congruent angle. If any angle of ‘y ‘ is less than 360 o thenĬonjugate angle of y = 360 o – y o Congruent angles: Here ∠POR is said to be conjugate angle of ∠ROQ and ∠ROQ is said to be conjugate angle of ∠POR. Since sum of the these two angles are 360 o Each one of these angles is called the conjugate of the other.įrom the above example ∠POR = 50 o, ∠ROQ = 310 o are conjugate angles If the sum of two angles are 360 then the angles are said to be Conjugate angles. Supplementary angle of y = 180 o – y o Conjugate Angles: If any angle of Y is less than 180 o then Here ∠POR is said to be supplementary angle of ∠ROQ and ∠ROQ is said to be supplementary angle of ∠POR. Since sum of the these two angles are 180 o Each one of these angles is called the supplementary of the other.įrom the above example ∠POR = 50 o, ∠ROQ = 130 o are supplementary angles If the sum of two angles are 180 o then the angles are said to be supplementary angles. If any angle of ‘ y ‘ is less than 90 o thenĬomplementary angle of y = 90 o – y o Supplementary angles Here ∠POR is said to be complementary angle of ∠ROQ and ∠ROQ is said to be complementary angle of ∠POR. Since sum of the these two angles are 90 o Each one of these angles is called the Complementary of the other.įrom the above example ∠POR = 50 o, ∠ROQ = 40 o are complementary angles If the sum of two angles are 90 o then the angles are said to be Complementary angles.
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