Lessons 6-8 & 6-9 Angles, Lines, Transversals & Interior/Exterior Angles of Triangles

Angle D measures 74 degrees because it is supplementary to the given angle.

What is the measure of Angle D? How do you know?

Angle E measures 74 degrees because it is an Alternate Interior Angle to the given angle.

What is the measure of Angle E? How do you know?

Angle G measures 106 degrees because it is an Alternate Exterior Angle to the given angle.

What is the measure of Angle G? How do you know?

Angle H measures 74 degrees because it is a Corresponding Angle to the given angle.

What is the measure of Angle H? How do you know?

angle A + angle B + angle C = 180 degrees

Write an equation that represents the relationship between Angle A, Angle B, and Angle C.

angle A + angle C = angle D

Write an equation that represents the relationship between the exterior angle and its remote interior angles.

Corresponding

Angles A & E are congruent because they are ______________________ angles.

Alternate Exterior

Angles A & H are congruent because they are _________________ ________________ angles.

Vertical

Angles B & C are congruent because they are ______________________ angles.

Same Side Interior

Angles D & F are supplementary because they are _________________ _______________ ________________ angles.

Remote interior + remote interior = exterior angle Angle 1 + 57 = 119 - 57 -57 Angle 1 = 62 degrees

Find the measure of Angle 1.

Remote interior + remote interior = exterior angle 60 + 90 = 150 Angle D = 150 degrees

Find the measure of Angle D.

Remote interior + remote interior = exterior angle 88 + 42 = 130 Angle D = 130 degrees

Find the measure of Angle D.

Interior Angles of a triangle = 180 degrees x + x + 70 + x + 20 = 180 3x + 90 = 180 3x = 90 x = 30 Angle R = x + 20 Angle R = 50 degrees

Find the measure of Angle R.

Angle 1 = 113 degrees Angle 2 = 67 degrees Angle 3 = 67 degrees Angle 4 = 113 degrees Angle 5 = 113 degrees Angle 6 = 67 degrees Angle 8 = 113 degrees

Find the measure of all angles created by this transversal.

Angle 1 = 118 degrees Angle 2 = 62 degrees Angle 3 = 62 degrees Angle 4 = 118 degrees Angle 5 = 118 degrees Angle 6 = 62 degrees Angle 7 = 62 degrees

Find the measure of all angles created by this transversal.

Angle 1 = 150 degrees Angle 2 = 30 degrees Angle 3 = 30 degrees Angle 4 = 150 degrees Angle 6 = 30 degrees Angle 7 = 30 degrees Angle 8 = 150 degrees

Find the measure of all angles created by this transversal.

Angle 1 = 39 degrees Angle 2 = 141 degrees Angle 3 = 141 degrees Angle 4 = 39 degrees Angle 6 = 141 degrees Angle 7 = 141 degrees Angle 8 = 39 degrees

Find the measure of all angles created by this transversal.

Angle A = 118 degrees Angle B = 30 degrees Angle C = 32 degrees

Find the measures of Angle A, Angle B, and Angle C.

Angle A = 142 degrees Angle B = 52 degrees Angle C = 90 degrees

Find the measures of Angle A, Angle B, and Angle C.

Angle A = 44 degrees Angle B = 93 degrees Angle C = 43 degrees

Find the measures of Angle A, Angle B, and Angle C.

Angle A = 46 degrees Angle B = 67 degrees Angle C = 67 degrees

Find the measures of Angle A, Angle B, and Angle C.