Vertical Angles, Linear Pairs, Exterior Angles

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Presentation transcript:

Vertical Angles, Linear Pairs, Exterior Angles Coordinate Algebra

What’s the difference between vertical angles and linear pairs? A pair of adjacent angles that form a straight line Vertical Angles Angles that are opposite each other when two lines intersect

Mathematical Relationship Vertical Angles Linear Pair Equal to each other Add to 180 degrees They are supplementary

Vertical Angles & Linear Pair Two angles that are opposite angles. Vertical angles are congruent.  1   4,  2   3,  5   8,  6   7 Supplementary angles that form a line (sum = 180) 1 & 2 , 2 & 4 , 4 &3, 3 & 1, 5 & 6, 6 & 8, 8 & 7, 7 & 5 1 2 3 4 5 6 7 8 Lesson 2-4: Angles and Parallel Lines

54° ? Find the missing angle. 54°

? 38° Find the missing angle. 142°

Solve for x. X = 14

Solve for x. X = 38

Exterior Angles Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle

Find the missing angles. 84° 100° Find the missing angles.

Solve for x. X = 5