Question

In the diagram, two parallel lines are intersected by a transversal.

What are the measurements of angles 1, 2, 4, 5, 6, 7, and 8?

Geometry

Short answer

Answer 1

1=55°

2=125°

4=125°

5=125°

6=55°

7=125°

8=55°

Explanation:

7= 125° because a line is 180°, so 55° + angle 7 = 180°, using simple algebra we can subtract 55 from both sides getting angle 7 = 125°

8= 55° because vertical angles are always congruent

4= 125° because all vertical angles are congruent

6= 55° because alternate interior angles are always congruent so angle 6 = 55°

1= 55° because vertical angles are always congruent

2=125° because alternate interior angles are always congruent so angle 2 = angle 7

5=125° because vertical angles are always congruent

Answer 2

Angles 1,6,8 = 55
Angles 2,4,5,7 = 125