NAME DATE

Studu GuideAngle RelationshipsThe following table identities several different types of anglesthat occur in pairs.

Student EditionPoges 53-60

ldentify each pair of angles as adjacent, vertical,complementary, supplementary, and/or as a linear pair.

L. LL and L2

3. LB and L4

2. Ll and L4

4. Ll and L5

7

Pairs of Angles

Special Name Definition Examples

adjacent angles angles in the same plane thathave a common vertex and acommon side, but no commoninterior points G

LEHF and LFHG are adjacentangles.

vertical angles two nonadjacent angles formedby two intersecting lines (Verticalangles are congruent.)

Ll and L3 are vertical angles.L2 and L4 are vertical angles.LL= L3, L2 = L4

linear pair adjacent angles whosenoncommon sides are oppositerays

L5 and LG form a linear pair.

complementaryangles

two angles whose measures havea sum of 90

supplementaryangles

two angles whose measures havea sum of 180

-: ----199--_

Find the value of x.

(7x + 10)o

@ Glencoe/McGraw-Hill Geometry