Question

Using the image above, if lines a and b are parallel and angle 6 is 40 degrees list the measurements of the other angles:

Angle 1:

Angle 2:

Angle 3:

Angle 4:

Angle 5:

Angle 6:

Angle 7:

Angle 8:

Answer 1

Answer/Step-by-step explanation:

Given:

m<6 = 40°

Required:

Measure of all the other numbered angles

Solution:

Since line a is parallel to line b, therefore:

✔️m<1 = 180° - m<6 (supplementary angles)

m<1 = 180° - 40° (substitution)

m<1 = 140°

✔️m<2 = m<6 (corresponding angles)

m<2 = 40° (substitution)

m<3 = 180° - m<6 (same side interior angles are supplementary)

m<3 = 180° - 40° (substitution)

m<3 = 140°

✔️m<4 = m<6 (alternate interior angle)

m<4 = 40°

✔️m<5 = 180° - m<6 (linear pair)

m<5 = 180° - 40°

m<5 = 140°

✔️m<7 = m<5 (vertical angles)

m<7 = 140°

✔️m<8 = m<6 (vertical angles)

m<8 = 40°