Question

GEOMETRY HELP ME

Find the measures of all the angles listed and if the lines are parallel explain why?

Answer 1

110 deg

Explanation:

The supplement of the 140 deg angle measures 40 deg.

Draw a line through the vertex where angle x is that is parallel to the other two lines. That line splits angle x into two angles, an upper angle and a lower angle.

By alternate interior angles, the lower angle that is part of angle x measures 70 deg. Also by alternate interior angles, the upper angle that is part of angle x measures 40 deg.

x = 70 + 40 = 110

Answer: 110 deg

Answer 2

x= 110°

Explanation:

if you continue drawing the top purple line you will have a triangle with three angles

70° ; is given

180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)

180-70-40 = 70°; because sum of angles in a triangle is 180°

So angle x= 180 -70 = 110 because are a linear pair