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GEOMETRY Section 1.5: Angle Relationships

GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

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Page 1: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

GEOMETRYSection 1.5:Angle Relationships

Page 2: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Adjacent angles- two angles that lie in the same plane and have a common vertex and common side, but no common interior points.

Page 3: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Linear pair - pair of adjacent angles with noncommon sides that are opposite rays.

Page 4: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Vertical Angles - two nonadjacent angles formed by two intersecting lines

Vertical angles are ALWAYS congruent.

Page 5: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Ex 1: Find the value of the variables.

(2x +25)°

(3x-10)° (5y)°

Page 6: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Complementary angles - two angles with measures that have a sum of 90 degrees.

Supplementary angles - two angles with measures that have a sum of 180 degrees

The angles in a linear pair are supplementary.

Page 7: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Example 2: Find the measures of supplementary angles if the measure of one angle is 6 less than 5 times the measure of the other angle.

(5x-6) + (x) = 1806x – 6 = 180 6x = 186 x = 3131°, 149°

Page 8: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

Perpendicular lines intersect to form four right angles.

They intersect to form congruent adjacent angles.

Page 9: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

EXAMPLE 3 Find the value of x so that line m line n

(10x-10)°

Page 10: GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common

HOMEWORKPage 50: Problems 1-7 all, 8-42 evens,

491.5 Quiz next time!


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