For the following exercise, j ∥ k and △ABC is given. Given:m∠3 = 52° m∠2 = 77° Find:m∠1, m∠4, and m∠5 in degrees

Question

For the following exercise, j ∥ k and △ABC

 is given.

Given:m∠3 = 52°

m∠2 = 77°

Find:m∠1, m∠4, and m∠5 in degrees

Answer 1

Use fact sum of interior angles of triangle add to 180 to determine m<4.

Use fact that <2 and <1 are a linear pair and thus supplementary to find m <1.

Use fact that <4 and <5 are alternate interior angles (and thus equal) to find m<5.