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Angles Common Core Standard: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. Supplementary angles- are angles that have a sum of 180o Complementary angles- are angles that have a sum of 90o Congruent – means that two figures have the same measure; the symbol for congruency is Vertical angles – are two angles that are across from each other that are congruent Adjacent angles – are two or more angles that are next to each other that form a straight line, which means that the angles are supplementary Example: Determine the value of the missing angles below o These angles are adjacent, which means that the angle are supplementary Supplementary angles measure 180o So, 180o – 44o = 136o x = 136o These are vertical angles This means that the angles are congruent or equal 11y – 36 = 63 Combine like terms 36 and 63 o 11y – 36 + 36 = 63 + 36 11y= 99 Divide both sides by 11 y=9 o Two angles are complementary. One angle measures 44.5o. What does the other angle measure? Complementary angles have a sum of 90o 44.5o + z = 90o, z= missing angle 44.5o – 44.5o + z = 90o - 44.5o z = 45.5o Transversal Example: Transversal – is a segment that intersects two parallel lines o Looking at this picture, we can identify different types of angles <2 <4, because they are vertical angles <1 <3, because they are vertical angles <5 <7, because they are vertical angles <6 <8, because they are vertical angles <1 is supplementary to <2, because they are adjacent angles <1 is supplementary to <4, because they are adjacent angles <2 is supplementary to <3, because they are adjacent angles <5 is supplementary to <6, because they are adjacent angles <5 is supplementary to <8, because they are adjacent angles <6 is supplementary to <7, because they are adjacent angles <7 is supplementary to <8, because they are adjacent angles