Question

42 point!!!!! Help me answer the question Find z Compute the m Compute the m

Answer 1

Answer:

z = 110°

w = 80°

x = 0°

Step-by-step explanation:

Start with the 100° angle.  The vertical angle is also 100°.  Supplementary angles add up to 180°, so the angle beside it is 80°.

External angles equal the sum of the opposite internal angles, so the other internal angle is 50°.  The angle supplementary to that is 130°.

The angle supplementary to the 120° angle is 60°.  Angles of a quadrilateral add up to 360°, so the remaining angle is 70°.  This angle is supplementary to z, so z is 110°.

TUVW is a parallelogram (a quadrilateral where opposite angles are congruent).  Therefore, angle W is 80°.  (You could also use the fact that angles of a quadrilateral add up to 360°.)

Angles of a quadrilateral add up to 360°, so:

90 + 84 + 2x + 118 + 2x + 68 = 360

4x + 360 = 360

4x = 0

x = 0