Answers 1206310 Geometry Sem 1 - CarlisleComplementary and Supplementary Angles

Triangle Angle Theorems Answers

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Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 =180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

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Triangle X Y Z is shown. Line Z X is extended through point W to form exterior angle W X Y.

m∠WXY = m∠YXZ

m∠WXY < m∠YZX

m∠WXY + m∠YXZ = 180°

m∠WXY + m∠XYZ = 180°

A triangle is shown with a line extending from the bottom left point

An exterior angle is supplementary to the adjacent interior angle.

An adjacent interior angle is supplementary to a remote interior angle.

A remote interior angle is congruent to the exterior angle.

An exterior angle is supplementary to a remote interior angle.

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Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

m∠MKL + m∠MLK = m∠JKM

m∠KML + m∠MLK = m∠JKM

m∠MKL + m∠MLK = 180°

m∠JKM + m∠MLK = 180°

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Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees.

x = 23

x = 35

x = 58

x = 93

Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (25 x) degrees. Angle T S R is (57 + x) degrees. Exterior angle T R Q is (45 x) degrees.

x = 2

x = 3

x = 33

x = 52

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Triangle Angle Theorems Answers

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